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Finding the Third Proportional to 34,950 and 52,449

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Solution

The third proportional to 34,950 and 52,449 is: 78,709.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,950 : 52,449 = 52,449 : x
  2. Step 2: Convert to fraction form
    34,950/52,449 = 52,449/x
  3. Step 3: Cross multiply
    34,950x = 52,449 × 52,449
  4. Step 4: Simplify right side
    34,950x = 2,750,897,601
  5. Step 5: Solve for x
    x = 2,750,897,601/34,950
  6. Step 6: Final answer
    x = 78,709.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.