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Finding the Third Proportional to 6,120.25 and 8,082.38

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Solution

The third proportional to 6,120.25 and 8,082.38 is: 10,673.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,120.25 : 8,082.38 = 8,082.38 : x
  2. Step 2: Convert to fraction form
    6,120.25/8,082.38 = 8,082.38/x
  3. Step 3: Cross multiply
    6,120.25x = 8,082.38 × 8,082.38
  4. Step 4: Simplify right side
    6,120.25x = 65,324,785.64
  5. Step 5: Solve for x
    x = 65,324,785.64/6,120.25
  6. Step 6: Final answer
    x = 10,673.55

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.