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Finding the Third Proportional to 39,671 and 54,398

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Solution

The third proportional to 39,671 and 54,398 is: 74,592.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,671 : 54,398 = 54,398 : x
  2. Step 2: Convert to fraction form
    39,671/54,398 = 54,398/x
  3. Step 3: Cross multiply
    39,671x = 54,398 × 54,398
  4. Step 4: Simplify right side
    39,671x = 2,959,142,404
  5. Step 5: Solve for x
    x = 2,959,142,404/39,671
  6. Step 6: Final answer
    x = 74,592.08

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.