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Finding the Third Proportional to 39,165 and 59,667

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Solution

The third proportional to 39,165 and 59,667 is: 90,901.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,165 : 59,667 = 59,667 : x
  2. Step 2: Convert to fraction form
    39,165/59,667 = 59,667/x
  3. Step 3: Cross multiply
    39,165x = 59,667 × 59,667
  4. Step 4: Simplify right side
    39,165x = 3,560,150,889
  5. Step 5: Solve for x
    x = 3,560,150,889/39,165
  6. Step 6: Final answer
    x = 90,901.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.