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Finding the Third Proportional to 5,000 and 7,744

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Solution

The third proportional to 5,000 and 7,744 is: 11,993.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,000 : 7,744 = 7,744 : x
  2. Step 2: Convert to fraction form
    5,000/7,744 = 7,744/x
  3. Step 3: Cross multiply
    5,000x = 7,744 × 7,744
  4. Step 4: Simplify right side
    5,000x = 59,969,536
  5. Step 5: Solve for x
    x = 59,969,536/5,000
  6. Step 6: Final answer
    x = 11,993.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.