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Finding the Third Proportional to 3,384.28 and 5,076.42

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Solution

The third proportional to 3,384.28 and 5,076.42 is: 7,614.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384.28 : 5,076.42 = 5,076.42 : x
  2. Step 2: Convert to fraction form
    3,384.28/5,076.42 = 5,076.42/x
  3. Step 3: Cross multiply
    3,384.28x = 5,076.42 × 5,076.42
  4. Step 4: Simplify right side
    3,384.28x = 25,770,059.05
  5. Step 5: Solve for x
    x = 25,770,059.05/3,384.28
  6. Step 6: Final answer
    x = 7,614.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.