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Finding the Third Proportional to 33,542 and 62,329

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Solution

The third proportional to 33,542 and 62,329 is: 115,822.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,542 : 62,329 = 62,329 : x
  2. Step 2: Convert to fraction form
    33,542/62,329 = 62,329/x
  3. Step 3: Cross multiply
    33,542x = 62,329 × 62,329
  4. Step 4: Simplify right side
    33,542x = 3,884,904,241
  5. Step 5: Solve for x
    x = 3,884,904,241/33,542
  6. Step 6: Final answer
    x = 115,822.08

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.