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Finding the Third Proportional to 11,961 and 27,937.41

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Solution

The third proportional to 11,961 and 27,937.41 is: 65,253.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,961 : 27,937.41 = 27,937.41 : x
  2. Step 2: Convert to fraction form
    11,961/27,937.41 = 27,937.41/x
  3. Step 3: Cross multiply
    11,961x = 27,937.41 × 27,937.41
  4. Step 4: Simplify right side
    11,961x = 780,498,667.98
  5. Step 5: Solve for x
    x = 780,498,667.98/11,961
  6. Step 6: Final answer
    x = 65,253.63

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.