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Finding the Third Proportional to 17,870 and 41,551

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Solution

The third proportional to 17,870 and 41,551 is: 96,613.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,870 : 41,551 = 41,551 : x
  2. Step 2: Convert to fraction form
    17,870/41,551 = 41,551/x
  3. Step 3: Cross multiply
    17,870x = 41,551 × 41,551
  4. Step 4: Simplify right side
    17,870x = 1,726,485,601
  5. Step 5: Solve for x
    x = 1,726,485,601/17,870
  6. Step 6: Final answer
    x = 96,613.63

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.