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Finding the Third Proportional to 4,960 and 11,744

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Solution

The third proportional to 4,960 and 11,744 is: 27,806.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,960 : 11,744 = 11,744 : x
  2. Step 2: Convert to fraction form
    4,960/11,744 = 11,744/x
  3. Step 3: Cross multiply
    4,960x = 11,744 × 11,744
  4. Step 4: Simplify right side
    4,960x = 137,921,536
  5. Step 5: Solve for x
    x = 137,921,536/4,960
  6. Step 6: Final answer
    x = 27,806.76

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.