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Finding the Third Proportional to 2,439.38 and 3,773.63

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Solution

The third proportional to 2,439.38 and 3,773.63 is: 5,837.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,439.38 : 3,773.63 = 3,773.63 : x
  2. Step 2: Convert to fraction form
    2,439.38/3,773.63 = 3,773.63/x
  3. Step 3: Cross multiply
    2,439.38x = 3,773.63 × 3,773.63
  4. Step 4: Simplify right side
    2,439.38x = 14,240,245.64
  5. Step 5: Solve for x
    x = 14,240,245.64/2,439.38
  6. Step 6: Final answer
    x = 5,837.66

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.