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Finding the Third Proportional to 5,667 and 11,849

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Solution

The third proportional to 5,667 and 11,849 is: 24,774.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,667 : 11,849 = 11,849 : x
  2. Step 2: Convert to fraction form
    5,667/11,849 = 11,849/x
  3. Step 3: Cross multiply
    5,667x = 11,849 × 11,849
  4. Step 4: Simplify right side
    5,667x = 140,398,801
  5. Step 5: Solve for x
    x = 140,398,801/5,667
  6. Step 6: Final answer
    x = 24,774.80

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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.