A proportion is a statement that relates two ratios or fractions that are equal. The key feature of a proportion is that the numerators of the two fractions are proportional to each other, as are the denominators. This means that the ratio of the first numerator to the first denominator is equal to the ratio of the second numerator to the second denominator.
For example, the statement "3/5 equals 9/15" is a proportion because the ratios of the numerators to denominators in each fraction are equal, with 3:5 and 9:15 both simplifying to 3:5.
Another way to think of a proportion is as a special case of an equation involving ratios. If a proportion is true, then multiplying both sides by the common denominator of the two fractions will result in an equation that can be simplified to a single ratio or fraction.
Overall, what makes a proportion unique and useful is that it allows us to compare two sets of numbers in a way that is independent of their actual values, as long as their ratios remain the same. This makes it a powerful tool for solving problems in a wide range of fields, from finance to science to everyday life.
Describe what makes a proportion
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