Finding the Third Proportional to 31,472 and 63,856
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Solution
The third proportional to 31,472 and 63,856 is: 129,562.43
Step by Step Solution
- Step 1: Write the proportion equation
31,472 : 63,856 = 63,856 : x - Step 2: Convert to fraction form
31,472/63,856 = 63,856/x - Step 3: Cross multiply
31,472x = 63,856 × 63,856 - Step 4: Simplify right side
31,472x = 4,077,588,736 - Step 5: Solve for x
x = 4,077,588,736/31,472 - Step 6: Final answer
x = 129,562.43
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Why These Related Problems?
These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.