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4.

Suppose that the geometric mean between 6 and 12 is x thus we have :

x^2 = 6 × 12

x^2 = 72

x = + √72 Or x = - √72 ( unacceptable )

x = + √9 × √4 × √2

x = 6√2

x = 6root2

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5. similarity ratio = 24/20 = 30/25 = 6/5

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