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Finding the Third Proportional to 39,869.25 and 54,169.88

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Solution

The third proportional to 39,869.25 and 54,169.88 is: 73,599.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,869.25 : 54,169.88 = 54,169.88 : x
  2. Step 2: Convert to fraction form
    39,869.25/54,169.88 = 54,169.88/x
  3. Step 3: Cross multiply
    39,869.25x = 54,169.88 × 54,169.88
  4. Step 4: Simplify right side
    39,869.25x = 2,934,375,357.52
  5. Step 5: Solve for x
    x = 2,934,375,357.52/39,869.25
  6. Step 6: Final answer
    x = 73,599.96

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.