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Finding the Third Proportional to 18,910 and 27,067

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Solution

The third proportional to 18,910 and 27,067 is: 38,742.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,910 : 27,067 = 27,067 : x
  2. Step 2: Convert to fraction form
    18,910/27,067 = 27,067/x
  3. Step 3: Cross multiply
    18,910x = 27,067 × 27,067
  4. Step 4: Simplify right side
    18,910x = 732,622,489
  5. Step 5: Solve for x
    x = 732,622,489/18,910
  6. Step 6: Final answer
    x = 38,742.60

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.