Cross-Multiply Ratios: To solve for n in the proportion 512=8n, we need to find the value of n that makes the two ratios equivalent.We can do this by cross-multiplying the two ratios.So, we multiply 12 by 8 and 5 by n.12×8=5×n
Calculate Left Side: Now we perform the multiplication on the left side of the equation.12×8=96So, the equation now is:96=5×n
Isolate Variable: Next, we need to isolate n by dividing both sides of the equation by 5.n=596
Find Value of n: Finally, we divide 96 by 5 to find the value of n.n=19.2
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