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Finding the Third Proportional to 27,067 and 62,661

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Solution

The third proportional to 27,067 and 62,661 is: 145,062.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,067 : 62,661 = 62,661 : x
  2. Step 2: Convert to fraction form
    27,067/62,661 = 62,661/x
  3. Step 3: Cross multiply
    27,067x = 62,661 × 62,661
  4. Step 4: Simplify right side
    27,067x = 3,926,400,921
  5. Step 5: Solve for x
    x = 3,926,400,921/27,067
  6. Step 6: Final answer
    x = 145,062.29

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.