## Proportion

### In mathematics, a proportion refers to an equation that states that two ratios or fractions are equal

In mathematics, a proportion refers to an equation that states that two ratios or fractions are equal. It describes the relationship between four quantities, where the first and fourth quantities are related, as well as the second and third quantities.

A proportion typically takes the form of “a/b = c/d,” where a, b, c, and d are numbers or expressions. The quantities a and d are called the extremes, while b and c are referred to as the means. The key property of proportions is that the product of the means is equal to the product of the extremes.

For example, let’s consider the proportion 2/3 = 4/6. Here, 2 and 6 are the extremes, while 3 and 4 are the means. To verify if this proportion is true, we multiply the means: 3 * 4 = 12, and then the extremes: 2 * 6 = 12. Since the products are equal, we can say that the proportion holds true.

Proportions are used in a variety of real-life scenarios, such as solving word problems involving ratios, scaling quantities, and determining unknown values in similar geometric figures. They are also prevalent in applications such as cooking, finance, and engineering, where maintaining consistent relationships between quantities is important.

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