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Finding the Third Proportional to 33,834 and 52,593

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Solution

The third proportional to 33,834 and 52,593 is: 81,752.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,834 : 52,593 = 52,593 : x
  2. Step 2: Convert to fraction form
    33,834/52,593 = 52,593/x
  3. Step 3: Cross multiply
    33,834x = 52,593 × 52,593
  4. Step 4: Simplify right side
    33,834x = 2,766,023,649
  5. Step 5: Solve for x
    x = 2,766,023,649/33,834
  6. Step 6: Final answer
    x = 81,752.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.