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Finding the Third Proportional to 27,847 and 60,041

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Solution

The third proportional to 27,847 and 60,041 is: 129,454.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,847 : 60,041 = 60,041 : x
  2. Step 2: Convert to fraction form
    27,847/60,041 = 60,041/x
  3. Step 3: Cross multiply
    27,847x = 60,041 × 60,041
  4. Step 4: Simplify right side
    27,847x = 3,604,921,681
  5. Step 5: Solve for x
    x = 3,604,921,681/27,847
  6. Step 6: Final answer
    x = 129,454.58

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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.