Proportions are equations that show equal ratios from "summary" of Maths Mate – 6 NEW by Madhubun
Proportions are like magical equations that allow us to compare different quantities in a way that shows their equal ratios. When we say that two ratios are proportional, we mean that they are equivalent to each other. This concept is fundamental in various mathematical applications, such as solving problems involving rates, percentages, and scaling. In a proportion, the relationship between the quantities is expressed as a ratio of two numbers. These ratios are set equal to each other, forming an equation that helps us find unknown values. For example, if we have a proportion like 2:4 = 5:x, we can solve for x by cross-multiplying the terms to find the missing value. Proportions are incredibly versatile and can be used in a wide range of situations. Whether we are dealing with cooking recipes, financial calculations, or even map scales, proportions help us maintain balance and consistency in our comparisons. By understanding the concept of proportions, we can make accurate predictions and informed decisions in our daily lives. When working with proportions, it's essential to remember that the key idea is to establish equality between ratios. This means that the relationship between the quantities remains consistent, even as the values change. By mastering the art of proportions, we can simplify complex problems and make sense of the world around us in a logical and structured manner.- Proportions are powerful tools that allow us to compare and analyze different quantities effectively. By setting up equations that show equal ratios, we can unlock a world of possibilities in mathematics and beyond. So, the next time you encounter a problem that involves comparing values, remember to use proportions as your trusty guide.
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