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Finding the Third Proportional to 11,761 and 27,747

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Solution

The third proportional to 11,761 and 27,747 is: 65,461.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,761 : 27,747 = 27,747 : x
  2. Step 2: Convert to fraction form
    11,761/27,747 = 27,747/x
  3. Step 3: Cross multiply
    11,761x = 27,747 × 27,747
  4. Step 4: Simplify right side
    11,761x = 769,896,009
  5. Step 5: Solve for x
    x = 769,896,009/11,761
  6. Step 6: Final answer
    x = 65,461.78

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.