Finding the Third Proportional to 31,920 and 67,290
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Solution
The third proportional to 31,920 and 67,290 is: 141,852.89
Step by Step Solution
- Step 1: Write the proportion equation
31,920 : 67,290 = 67,290 : x - Step 2: Convert to fraction form
31,920/67,290 = 67,290/x - Step 3: Cross multiply
31,920x = 67,290 × 67,290 - Step 4: Simplify right side
31,920x = 4,527,944,100 - Step 5: Solve for x
x = 4,527,944,100/31,920 - Step 6: Final answer
x = 141,852.89
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Why These Related Problems?
These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.