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Finding the Third Proportional to 38,551 and 57,667

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Solution

The third proportional to 38,551 and 57,667 is: 86,261.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,551 : 57,667 = 57,667 : x
  2. Step 2: Convert to fraction form
    38,551/57,667 = 57,667/x
  3. Step 3: Cross multiply
    38,551x = 57,667 × 57,667
  4. Step 4: Simplify right side
    38,551x = 3,325,482,889
  5. Step 5: Solve for x
    x = 3,325,482,889/38,551
  6. Step 6: Final answer
    x = 86,261.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.