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Finding the Third Proportional to 27,864 and 43,163

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Solution

The third proportional to 27,864 and 43,163 is: 66,862.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,864 : 43,163 = 43,163 : x
  2. Step 2: Convert to fraction form
    27,864/43,163 = 43,163/x
  3. Step 3: Cross multiply
    27,864x = 43,163 × 43,163
  4. Step 4: Simplify right side
    27,864x = 1,863,044,569
  5. Step 5: Solve for x
    x = 1,863,044,569/27,864
  6. Step 6: Final answer
    x = 66,862.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.