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Finding the Third Proportional to 17,256 and 26,727

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Solution

The third proportional to 17,256 and 26,727 is: 41,396.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,256 : 26,727 = 26,727 : x
  2. Step 2: Convert to fraction form
    17,256/26,727 = 26,727/x
  3. Step 3: Cross multiply
    17,256x = 26,727 × 26,727
  4. Step 4: Simplify right side
    17,256x = 714,332,529
  5. Step 5: Solve for x
    x = 714,332,529/17,256
  6. Step 6: Final answer
    x = 41,396.18

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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.