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Finding the Third Proportional to 38,865.50 and 80,651

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Solution

The third proportional to 38,865.50 and 80,651 is: 167,361.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,865.50 : 80,651 = 80,651 : x
  2. Step 2: Convert to fraction form
    38,865.50/80,651 = 80,651/x
  3. Step 3: Cross multiply
    38,865.50x = 80,651 × 80,651
  4. Step 4: Simplify right side
    38,865.50x = 6,504,583,801
  5. Step 5: Solve for x
    x = 6,504,583,801/38,865.50
  6. Step 6: Final answer
    x = 167,361.38

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.