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Finding the Third Proportional to 3,074.06 and 4,082.06

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Solution

The third proportional to 3,074.06 and 4,082.06 is: 5,420.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.06 : 4,082.06 = 4,082.06 : x
  2. Step 2: Convert to fraction form
    3,074.06/4,082.06 = 4,082.06/x
  3. Step 3: Cross multiply
    3,074.06x = 4,082.06 × 4,082.06
  4. Step 4: Simplify right side
    3,074.06x = 16,663,234.25
  5. Step 5: Solve for x
    x = 16,663,234.25/3,074.06
  6. Step 6: Final answer
    x = 5,420.59

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.