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Finding the Third Proportional to 38,092.50 and 80,792

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Solution

The third proportional to 38,092.50 and 80,792 is: 171,355.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,092.50 : 80,792 = 80,792 : x
  2. Step 2: Convert to fraction form
    38,092.50/80,792 = 80,792/x
  3. Step 3: Cross multiply
    38,092.50x = 80,792 × 80,792
  4. Step 4: Simplify right side
    38,092.50x = 6,527,347,264
  5. Step 5: Solve for x
    x = 6,527,347,264/38,092.50
  6. Step 6: Final answer
    x = 171,355.18

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.