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Finding the Third Proportional to 3,744 and 8,204

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Solution

The third proportional to 3,744 and 8,204 is: 17,976.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744 : 8,204 = 8,204 : x
  2. Step 2: Convert to fraction form
    3,744/8,204 = 8,204/x
  3. Step 3: Cross multiply
    3,744x = 8,204 × 8,204
  4. Step 4: Simplify right side
    3,744x = 67,305,616
  5. Step 5: Solve for x
    x = 67,305,616/3,744
  6. Step 6: Final answer
    x = 17,976.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.