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Finding the Third Proportional to 3,748.88 and 8,082.19

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Solution

The third proportional to 3,748.88 and 8,082.19 is: 17,424.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,748.88 : 8,082.19 = 8,082.19 : x
  2. Step 2: Convert to fraction form
    3,748.88/8,082.19 = 8,082.19/x
  3. Step 3: Cross multiply
    3,748.88x = 8,082.19 × 8,082.19
  4. Step 4: Simplify right side
    3,748.88x = 65,321,754.79
  5. Step 5: Solve for x
    x = 65,321,754.79/3,748.88
  6. Step 6: Final answer
    x = 17,424.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.