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Finding the Third Proportional to 1,447.03 and 3,280.92

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Solution

The third proportional to 1,447.03 and 3,280.92 is: 7,438.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.03 : 3,280.92 = 3,280.92 : x
  2. Step 2: Convert to fraction form
    1,447.03/3,280.92 = 3,280.92/x
  3. Step 3: Cross multiply
    1,447.03x = 3,280.92 × 3,280.92
  4. Step 4: Simplify right side
    1,447.03x = 10,764,448.35
  5. Step 5: Solve for x
    x = 10,764,448.35/1,447.03
  6. Step 6: Final answer
    x = 7,438.99

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These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.