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Finding the Third Proportional to 44,002 and 58,349

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Solution

The third proportional to 44,002 and 58,349 is: 77,373.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,002 : 58,349 = 58,349 : x
  2. Step 2: Convert to fraction form
    44,002/58,349 = 58,349/x
  3. Step 3: Cross multiply
    44,002x = 58,349 × 58,349
  4. Step 4: Simplify right side
    44,002x = 3,404,605,801
  5. Step 5: Solve for x
    x = 3,404,605,801/44,002
  6. Step 6: Final answer
    x = 77,373.89

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.