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Finding the Third Proportional to 33,982 and 72,339

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Solution

The third proportional to 33,982 and 72,339 is: 153,991.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,982 : 72,339 = 72,339 : x
  2. Step 2: Convert to fraction form
    33,982/72,339 = 72,339/x
  3. Step 3: Cross multiply
    33,982x = 72,339 × 72,339
  4. Step 4: Simplify right side
    33,982x = 5,232,930,921
  5. Step 5: Solve for x
    x = 5,232,930,921/33,982
  6. Step 6: Final answer
    x = 153,991.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.