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Finding the Third Proportional to 2,624.06 and 4,082.06

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Solution

The third proportional to 2,624.06 and 4,082.06 is: 6,350.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,624.06 : 4,082.06 = 4,082.06 : x
  2. Step 2: Convert to fraction form
    2,624.06/4,082.06 = 4,082.06/x
  3. Step 3: Cross multiply
    2,624.06x = 4,082.06 × 4,082.06
  4. Step 4: Simplify right side
    2,624.06x = 16,663,234.25
  5. Step 5: Solve for x
    x = 16,663,234.25/2,624.06
  6. Step 6: Final answer
    x = 6,350.17

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.