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Finding the Third Proportional to 33,667 and 49,849

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Solution

The third proportional to 33,667 and 49,849 is: 73,808.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,667 : 49,849 = 49,849 : x
  2. Step 2: Convert to fraction form
    33,667/49,849 = 49,849/x
  3. Step 3: Cross multiply
    33,667x = 49,849 × 49,849
  4. Step 4: Simplify right side
    33,667x = 2,484,922,801
  5. Step 5: Solve for x
    x = 2,484,922,801/33,667
  6. Step 6: Final answer
    x = 73,808.86

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.