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Finding the Third Proportional to 26,538 and 41,067

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Solution

The third proportional to 26,538 and 41,067 is: 63,550.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,538 : 41,067 = 41,067 : x
  2. Step 2: Convert to fraction form
    26,538/41,067 = 41,067/x
  3. Step 3: Cross multiply
    26,538x = 41,067 × 41,067
  4. Step 4: Simplify right side
    26,538x = 1,686,498,489
  5. Step 5: Solve for x
    x = 1,686,498,489/26,538
  6. Step 6: Final answer
    x = 63,550.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.