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Finding the Third Proportional to 3,286.13 and 7,311.38

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Solution

The third proportional to 3,286.13 and 7,311.38 is: 16,267.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.13 : 7,311.38 = 7,311.38 : x
  2. Step 2: Convert to fraction form
    3,286.13/7,311.38 = 7,311.38/x
  3. Step 3: Cross multiply
    3,286.13x = 7,311.38 × 7,311.38
  4. Step 4: Simplify right side
    3,286.13x = 53,456,204.39
  5. Step 5: Solve for x
    x = 53,456,204.39/3,286.13
  6. Step 6: Final answer
    x = 16,267.25

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.