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What is the proportion to determine the length of each side of Kalyan Sain's mustache, which he grew for 17 years, if a person's hair length increases by 11 inches after 3 years of growth? Please provide the setup of the proportion, including the explanation of where to place each number, and then demonstrate and explain each step of the solution for calculating the length of each side of the mustache. Lastly, provide the length of each side with the appropriate units.

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Final answer:

To determine the length of each side of Kalyan Sain's mustache, set up a proportion. The length of each side is approximately 62.33 inches.

Step-by-step explanation:

To determine the length of each side of Kalyan Sain's mustache, we can use the given information that a person's hair length increases by 11 inches after 3 years of growth. Let's set up a proportion to solve for the length of each side of the mustache.

Let L represent the length of each side of the mustache.

We know that hair length increases by 11 inches after 3 years. So, the proportion can be set up as:

L/17 = 11/3

To solve for L, we can cross-multiply and divide:

L = (11/3) * 17

L = 187/3

Therefore, the length of each side of Kalyan Sain's mustache, which he grew for 17 years, is approximately 62.33 inches.

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