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Finding the Third Proportional to 3,982.92 and 8,138.60

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Solution

The third proportional to 3,982.92 and 8,138.60 is: 16,630.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.92 : 8,138.60 = 8,138.60 : x
  2. Step 2: Convert to fraction form
    3,982.92/8,138.60 = 8,138.60/x
  3. Step 3: Cross multiply
    3,982.92x = 8,138.60 × 8,138.60
  4. Step 4: Simplify right side
    3,982.92x = 66,236,835.39
  5. Step 5: Solve for x
    x = 66,236,835.39/3,982.92
  6. Step 6: Final answer
    x = 16,630.21

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.