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Finding the Third Proportional to 49,110 and 73,449

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Solution

The third proportional to 49,110 and 73,449 is: 109,850.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,110 : 73,449 = 73,449 : x
  2. Step 2: Convert to fraction form
    49,110/73,449 = 73,449/x
  3. Step 3: Cross multiply
    49,110x = 73,449 × 73,449
  4. Step 4: Simplify right side
    49,110x = 5,394,755,601
  5. Step 5: Solve for x
    x = 5,394,755,601/49,110
  6. Step 6: Final answer
    x = 109,850.45

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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.