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Finding the Third Proportional to 39,291 and 80,850

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Solution

The third proportional to 39,291 and 80,850 is: 166,366.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,291 : 80,850 = 80,850 : x
  2. Step 2: Convert to fraction form
    39,291/80,850 = 80,850/x
  3. Step 3: Cross multiply
    39,291x = 80,850 × 80,850
  4. Step 4: Simplify right side
    39,291x = 6,536,722,500
  5. Step 5: Solve for x
    x = 6,536,722,500/39,291
  6. Step 6: Final answer
    x = 166,366.92

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.