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If the small youth T-shirt is similar to the large T-shirt, then their corresponding sides will be proportional.
Let x be the length of the small youth T-shirt.
We can set up a proportion:
27.5/29.5 = 15.5/x
Cross multiplying, we get:
27.5x = 15.5 * 29.5
27.5x = 458.25
x = 458.25 / 27.5
x ≈ 16.65
Therefore, the length of the small youth T-shirt is approximately 16.65 inches, which rounds to 17 inches to the nearest inch.