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Finding the Third Proportional to 2,448 and 3,942.56

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Solution

The third proportional to 2,448 and 3,942.56 is: 6,349.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,448 : 3,942.56 = 3,942.56 : x
  2. Step 2: Convert to fraction form
    2,448/3,942.56 = 3,942.56/x
  3. Step 3: Cross multiply
    2,448x = 3,942.56 × 3,942.56
  4. Step 4: Simplify right side
    2,448x = 15,543,799.07
  5. Step 5: Solve for x
    x = 15,543,799.07/2,448
  6. Step 6: Final answer
    x = 6,349.59

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.