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Finding the Third Proportional to 1,806.05 and 2,439.49

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Solution

The third proportional to 1,806.05 and 2,439.49 is: 3,295.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806.05 : 2,439.49 = 2,439.49 : x
  2. Step 2: Convert to fraction form
    1,806.05/2,439.49 = 2,439.49/x
  3. Step 3: Cross multiply
    1,806.05x = 2,439.49 × 2,439.49
  4. Step 4: Simplify right side
    1,806.05x = 5,951,122.13
  5. Step 5: Solve for x
    x = 5,951,122.13/1,806.05
  6. Step 6: Final answer
    x = 3,295.11

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.