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Finding the Third Proportional to 34,850 and 52,599

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Solution

The third proportional to 34,850 and 52,599 is: 79,387.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,850 : 52,599 = 52,599 : x
  2. Step 2: Convert to fraction form
    34,850/52,599 = 52,599/x
  3. Step 3: Cross multiply
    34,850x = 52,599 × 52,599
  4. Step 4: Simplify right side
    34,850x = 2,766,654,801
  5. Step 5: Solve for x
    x = 2,766,654,801/34,850
  6. Step 6: Final answer
    x = 79,387.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.