Finding the Third Proportional to 41,582 and 56,613
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Solution
The third proportional to 41,582 and 56,613 is: 77,077.38
Step by Step Solution
- Step 1: Write the proportion equation
41,582 : 56,613 = 56,613 : x - Step 2: Convert to fraction form
41,582/56,613 = 56,613/x - Step 3: Cross multiply
41,582x = 56,613 × 56,613 - Step 4: Simplify right side
41,582x = 3,205,031,769 - Step 5: Solve for x
x = 3,205,031,769/41,582 - Step 6: Final answer
x = 77,077.38
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Why These Related Problems?
These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.