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Finding the Third Proportional to 39,092 and 84,472

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Solution

The third proportional to 39,092 and 84,472 is: 182,531.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,092 : 84,472 = 84,472 : x
  2. Step 2: Convert to fraction form
    39,092/84,472 = 84,472/x
  3. Step 3: Cross multiply
    39,092x = 84,472 × 84,472
  4. Step 4: Simplify right side
    39,092x = 7,135,518,784
  5. Step 5: Solve for x
    x = 7,135,518,784/39,092
  6. Step 6: Final answer
    x = 182,531.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.