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Finding the Third Proportional to 3,161.97 and 3,512.76

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Solution

The third proportional to 3,161.97 and 3,512.76 is: 3,902.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161.97 : 3,512.76 = 3,512.76 : x
  2. Step 2: Convert to fraction form
    3,161.97/3,512.76 = 3,512.76/x
  3. Step 3: Cross multiply
    3,161.97x = 3,512.76 × 3,512.76
  4. Step 4: Simplify right side
    3,161.97x = 12,339,496.61
  5. Step 5: Solve for x
    x = 12,339,496.61/3,161.97
  6. Step 6: Final answer
    x = 3,902.48

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.