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Finding the Third Proportional to 39,864.66 and 57,439.13

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Solution

The third proportional to 39,864.66 and 57,439.13 is: 82,761.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,864.66 : 57,439.13 = 57,439.13 : x
  2. Step 2: Convert to fraction form
    39,864.66/57,439.13 = 57,439.13/x
  3. Step 3: Cross multiply
    39,864.66x = 57,439.13 × 57,439.13
  4. Step 4: Simplify right side
    39,864.66x = 3,299,253,080.77
  5. Step 5: Solve for x
    x = 3,299,253,080.77/39,864.66
  6. Step 6: Final answer
    x = 82,761.36

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.