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Finding the Third Proportional to 39,027.38 and 82,132.88

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Solution

The third proportional to 39,027.38 and 82,132.88 is: 172,848.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,027.38 : 82,132.88 = 82,132.88 : x
  2. Step 2: Convert to fraction form
    39,027.38/82,132.88 = 82,132.88/x
  3. Step 3: Cross multiply
    39,027.38x = 82,132.88 × 82,132.88
  4. Step 4: Simplify right side
    39,027.38x = 6,745,809,155.77
  5. Step 5: Solve for x
    x = 6,745,809,155.77/39,027.38
  6. Step 6: Final answer
    x = 172,848.14

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.