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Finding the Third Proportional to 33,098 and 71,757

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Solution

The third proportional to 33,098 and 71,757 is: 155,570.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,098 : 71,757 = 71,757 : x
  2. Step 2: Convert to fraction form
    33,098/71,757 = 71,757/x
  3. Step 3: Cross multiply
    33,098x = 71,757 × 71,757
  4. Step 4: Simplify right side
    33,098x = 5,149,067,049
  5. Step 5: Solve for x
    x = 5,149,067,049/33,098
  6. Step 6: Final answer
    x = 155,570.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.