The sides of two square gardens are 16 m and 25 m, respectively. A third square garden is to be constructed such that the length of its side is the mean proportional between the sides of the given two gardens. What will be the length of the side of the new square garden?
20 m
Mean proportional between 16 and 25: \(\sqrt{16\times25} = \sqrt{400} = 20\).
Hence, the length of the side of the new square garden is 20 m.
If \(x\) is the mean proportional between \((a+b)\) and \((a-b)\), then find the value of \(x\).
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