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Finding the Third Proportional to 33,993 and 73,449

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Solution

The third proportional to 33,993 and 73,449 is: 158,701.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,993 : 73,449 = 73,449 : x
  2. Step 2: Convert to fraction form
    33,993/73,449 = 73,449/x
  3. Step 3: Cross multiply
    33,993x = 73,449 × 73,449
  4. Step 4: Simplify right side
    33,993x = 5,394,755,601
  5. Step 5: Solve for x
    x = 5,394,755,601/33,993
  6. Step 6: Final answer
    x = 158,701.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.