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Finding the Third Proportional to 52,980 and 73,449

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Solution

The third proportional to 52,980 and 73,449 is: 101,826.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,980 : 73,449 = 73,449 : x
  2. Step 2: Convert to fraction form
    52,980/73,449 = 73,449/x
  3. Step 3: Cross multiply
    52,980x = 73,449 × 73,449
  4. Step 4: Simplify right side
    52,980x = 5,394,755,601
  5. Step 5: Solve for x
    x = 5,394,755,601/52,980
  6. Step 6: Final answer
    x = 101,826.27

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.