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Finding the Third Proportional to 36,061.31 and 78,472.13

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Solution

The third proportional to 36,061.31 and 78,472.13 is: 170,761.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,061.31 : 78,472.13 = 78,472.13 : x
  2. Step 2: Convert to fraction form
    36,061.31/78,472.13 = 78,472.13/x
  3. Step 3: Cross multiply
    36,061.31x = 78,472.13 × 78,472.13
  4. Step 4: Simplify right side
    36,061.31x = 6,157,874,402.02
  5. Step 5: Solve for x
    x = 6,157,874,402.02/36,061.31
  6. Step 6: Final answer
    x = 170,761.24

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.