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Finding the Third Proportional to 27,681 and 44,067

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Solution

The third proportional to 27,681 and 44,067 is: 70,152.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,681 : 44,067 = 44,067 : x
  2. Step 2: Convert to fraction form
    27,681/44,067 = 44,067/x
  3. Step 3: Cross multiply
    27,681x = 44,067 × 44,067
  4. Step 4: Simplify right side
    27,681x = 1,941,900,489
  5. Step 5: Solve for x
    x = 1,941,900,489/27,681
  6. Step 6: Final answer
    x = 70,152.83

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.