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Geometric mean of 2 and 12 is 4.898979485566356. Look at link: "Calculation of the geometric mean of two numbers".
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Geometric mean of 9 and 16 is 12. Look at link: "Calculation of the geometric mean of two numbers".
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The geometric mean of two numbers is the square root of their product. In you instance any two factors of 900 will have a geometric mean of 30 eg 2 & 450 (2 x 15 = 30, 30 x 15 = 450); 3 & 300 (3 x 10 = 30, 30 x 10 = 300); 6 & 150 (6 x 5 = 30, 30 x 5 = 150) etc etc