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Finding the Third Proportional to 2,905.03 and 3,942.42

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Solution

The third proportional to 2,905.03 and 3,942.42 is: 5,350.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,905.03 : 3,942.42 = 3,942.42 : x
  2. Step 2: Convert to fraction form
    2,905.03/3,942.42 = 3,942.42/x
  3. Step 3: Cross multiply
    2,905.03x = 3,942.42 × 3,942.42
  4. Step 4: Simplify right side
    2,905.03x = 15,542,690.24
  5. Step 5: Solve for x
    x = 15,542,690.24/2,905.03
  6. Step 6: Final answer
    x = 5,350.27

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.