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Finding the Third Proportional to 49,589 and 75,551

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Solution

The third proportional to 49,589 and 75,551 is: 115,105.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,589 : 75,551 = 75,551 : x
  2. Step 2: Convert to fraction form
    49,589/75,551 = 75,551/x
  3. Step 3: Cross multiply
    49,589x = 75,551 × 75,551
  4. Step 4: Simplify right side
    49,589x = 5,707,953,601
  5. Step 5: Solve for x
    x = 5,707,953,601/49,589
  6. Step 6: Final answer
    x = 115,105.24

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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.