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Finding the Third Proportional to 17,731 and 27,067

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Solution

The third proportional to 17,731 and 27,067 is: 41,318.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,731 : 27,067 = 27,067 : x
  2. Step 2: Convert to fraction form
    17,731/27,067 = 27,067/x
  3. Step 3: Cross multiply
    17,731x = 27,067 × 27,067
  4. Step 4: Simplify right side
    17,731x = 732,622,489
  5. Step 5: Solve for x
    x = 732,622,489/17,731
  6. Step 6: Final answer
    x = 41,318.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.