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Finding the Third Proportional to 2,446.03 and 5,912.16

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Solution

The third proportional to 2,446.03 and 5,912.16 is: 14,289.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.03 : 5,912.16 = 5,912.16 : x
  2. Step 2: Convert to fraction form
    2,446.03/5,912.16 = 5,912.16/x
  3. Step 3: Cross multiply
    2,446.03x = 5,912.16 × 5,912.16
  4. Step 4: Simplify right side
    2,446.03x = 34,953,591.52
  5. Step 5: Solve for x
    x = 34,953,591.52/2,446.03
  6. Step 6: Final answer
    x = 14,289.92

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.