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Finding the Third Proportional to 27,614 and 43,059

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Solution

The third proportional to 27,614 and 43,059 is: 67,142.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,614 : 43,059 = 43,059 : x
  2. Step 2: Convert to fraction form
    27,614/43,059 = 43,059/x
  3. Step 3: Cross multiply
    27,614x = 43,059 × 43,059
  4. Step 4: Simplify right side
    27,614x = 1,854,077,481
  5. Step 5: Solve for x
    x = 1,854,077,481/27,614
  6. Step 6: Final answer
    x = 67,142.66

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.