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Finding the Third Proportional to 27,755 and 59,941

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Solution

The third proportional to 27,755 and 59,941 is: 129,451.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,755 : 59,941 = 59,941 : x
  2. Step 2: Convert to fraction form
    27,755/59,941 = 59,941/x
  3. Step 3: Cross multiply
    27,755x = 59,941 × 59,941
  4. Step 4: Simplify right side
    27,755x = 3,592,923,481
  5. Step 5: Solve for x
    x = 3,592,923,481/27,755
  6. Step 6: Final answer
    x = 129,451.40

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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.