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Finding the Third Proportional to 33,854 and 52,393

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Solution

The third proportional to 33,854 and 52,393 is: 81,084.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,854 : 52,393 = 52,393 : x
  2. Step 2: Convert to fraction form
    33,854/52,393 = 52,393/x
  3. Step 3: Cross multiply
    33,854x = 52,393 × 52,393
  4. Step 4: Simplify right side
    33,854x = 2,745,026,449
  5. Step 5: Solve for x
    x = 2,745,026,449/33,854
  6. Step 6: Final answer
    x = 81,084.26

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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.