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Finding the Third Proportional to 33,250 and 71,372

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Solution

The third proportional to 33,250 and 71,372 is: 153,201.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,250 : 71,372 = 71,372 : x
  2. Step 2: Convert to fraction form
    33,250/71,372 = 71,372/x
  3. Step 3: Cross multiply
    33,250x = 71,372 × 71,372
  4. Step 4: Simplify right side
    33,250x = 5,093,962,384
  5. Step 5: Solve for x
    x = 5,093,962,384/33,250
  6. Step 6: Final answer
    x = 153,201.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.