Finding the Third Proportional to 31,524 and 67,221
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Solution
The third proportional to 31,524 and 67,221 is: 143,340.40
Step by Step Solution
- Step 1: Write the proportion equation
31,524 : 67,221 = 67,221 : x - Step 2: Convert to fraction form
31,524/67,221 = 67,221/x - Step 3: Cross multiply
31,524x = 67,221 × 67,221 - Step 4: Simplify right side
31,524x = 4,518,662,841 - Step 5: Solve for x
x = 4,518,662,841/31,524 - Step 6: Final answer
x = 143,340.40
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Why These Related Problems?
These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.