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Finding the Third Proportional to 39,865.50 and 54,165.38

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Solution

The third proportional to 39,865.50 and 54,165.38 is: 73,594.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,865.50 : 54,165.38 = 54,165.38 : x
  2. Step 2: Convert to fraction form
    39,865.50/54,165.38 = 54,165.38/x
  3. Step 3: Cross multiply
    39,865.50x = 54,165.38 × 54,165.38
  4. Step 4: Simplify right side
    39,865.50x = 2,933,887,848.89
  5. Step 5: Solve for x
    x = 2,933,887,848.89/39,865.50
  6. Step 6: Final answer
    x = 73,594.66

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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.