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Finding the Third Proportional to 11,981 and 25,780

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Solution

The third proportional to 11,981 and 25,780 is: 55,471.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,981 : 25,780 = 25,780 : x
  2. Step 2: Convert to fraction form
    11,981/25,780 = 25,780/x
  3. Step 3: Cross multiply
    11,981x = 25,780 × 25,780
  4. Step 4: Simplify right side
    11,981x = 664,608,400
  5. Step 5: Solve for x
    x = 664,608,400/11,981
  6. Step 6: Final answer
    x = 55,471.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.