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Finding the Third Proportional to 16,864 and 26,801

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Solution

The third proportional to 16,864 and 26,801 is: 42,593.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,864 : 26,801 = 26,801 : x
  2. Step 2: Convert to fraction form
    16,864/26,801 = 26,801/x
  3. Step 3: Cross multiply
    16,864x = 26,801 × 26,801
  4. Step 4: Simplify right side
    16,864x = 718,293,601
  5. Step 5: Solve for x
    x = 718,293,601/16,864
  6. Step 6: Final answer
    x = 42,593.31

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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.