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Finding the Third Proportional to 39,882 and 54,187

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Solution

The third proportional to 39,882 and 54,187 is: 73,622.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,882 : 54,187 = 54,187 : x
  2. Step 2: Convert to fraction form
    39,882/54,187 = 54,187/x
  3. Step 3: Cross multiply
    39,882x = 54,187 × 54,187
  4. Step 4: Simplify right side
    39,882x = 2,936,230,969
  5. Step 5: Solve for x
    x = 2,936,230,969/39,882
  6. Step 6: Final answer
    x = 73,622.96

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Why These Related Problems?

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