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Finding the Third Proportional to 27,054 and 41,067

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Solution

The third proportional to 27,054 and 41,067 is: 62,338.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,054 : 41,067 = 41,067 : x
  2. Step 2: Convert to fraction form
    27,054/41,067 = 41,067/x
  3. Step 3: Cross multiply
    27,054x = 41,067 × 41,067
  4. Step 4: Simplify right side
    27,054x = 1,686,498,489
  5. Step 5: Solve for x
    x = 1,686,498,489/27,054
  6. Step 6: Final answer
    x = 62,338.23

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.