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Finding the Third Proportional to 29,001 and 44,109

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Solution

The third proportional to 29,001 and 44,109 is: 67,087.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,001 : 44,109 = 44,109 : x
  2. Step 2: Convert to fraction form
    29,001/44,109 = 44,109/x
  3. Step 3: Cross multiply
    29,001x = 44,109 × 44,109
  4. Step 4: Simplify right side
    29,001x = 1,945,603,881
  5. Step 5: Solve for x
    x = 1,945,603,881/29,001
  6. Step 6: Final answer
    x = 67,087.48

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.