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Finding the Third Proportional to 38,667.38 and 81,911.25

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Solution

The third proportional to 38,667.38 and 81,911.25 is: 173,517.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,667.38 : 81,911.25 = 81,911.25 : x
  2. Step 2: Convert to fraction form
    38,667.38/81,911.25 = 81,911.25/x
  3. Step 3: Cross multiply
    38,667.38x = 81,911.25 × 81,911.25
  4. Step 4: Simplify right side
    38,667.38x = 6,709,452,876.56
  5. Step 5: Solve for x
    x = 6,709,452,876.56/38,667.38
  6. Step 6: Final answer
    x = 173,517.15

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.