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Finding the Third Proportional to 26,540 and 36,067

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Solution

The third proportional to 26,540 and 36,067 is: 49,013.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,540 : 36,067 = 36,067 : x
  2. Step 2: Convert to fraction form
    26,540/36,067 = 36,067/x
  3. Step 3: Cross multiply
    26,540x = 36,067 × 36,067
  4. Step 4: Simplify right side
    26,540x = 1,300,828,489
  5. Step 5: Solve for x
    x = 1,300,828,489/26,540
  6. Step 6: Final answer
    x = 49,013.88

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.