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Finding the Third Proportional to 11,832 and 24,756

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Solution

The third proportional to 11,832 and 24,756 is: 51,796.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,832 : 24,756 = 24,756 : x
  2. Step 2: Convert to fraction form
    11,832/24,756 = 24,756/x
  3. Step 3: Cross multiply
    11,832x = 24,756 × 24,756
  4. Step 4: Simplify right side
    11,832x = 612,859,536
  5. Step 5: Solve for x
    x = 612,859,536/11,832
  6. Step 6: Final answer
    x = 51,796.78

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.