Finding the Third Proportional to 31,420.50 and 67,761
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Solution
The third proportional to 31,420.50 and 67,761 is: 146,132.40
Step by Step Solution
- Step 1: Write the proportion equation
31,420.50 : 67,761 = 67,761 : x - Step 2: Convert to fraction form
31,420.50/67,761 = 67,761/x - Step 3: Cross multiply
31,420.50x = 67,761 × 67,761 - Step 4: Simplify right side
31,420.50x = 4,591,553,121 - Step 5: Solve for x
x = 4,591,553,121/31,420.50 - Step 6: Final answer
x = 146,132.40
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.