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Finding the Third Proportional to 17,366 and 26,874

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Solution

The third proportional to 17,366 and 26,874 is: 41,587.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,366 : 26,874 = 26,874 : x
  2. Step 2: Convert to fraction form
    17,366/26,874 = 26,874/x
  3. Step 3: Cross multiply
    17,366x = 26,874 × 26,874
  4. Step 4: Simplify right side
    17,366x = 722,211,876
  5. Step 5: Solve for x
    x = 722,211,876/17,366
  6. Step 6: Final answer
    x = 41,587.69

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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.