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Finding the Third Proportional to 2,273.91 and 3,419.30

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Solution

The third proportional to 2,273.91 and 3,419.30 is: 5,141.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273.91 : 3,419.30 = 3,419.30 : x
  2. Step 2: Convert to fraction form
    2,273.91/3,419.30 = 3,419.30/x
  3. Step 3: Cross multiply
    2,273.91x = 3,419.30 × 3,419.30
  4. Step 4: Simplify right side
    2,273.91x = 11,691,591.12
  5. Step 5: Solve for x
    x = 11,691,591.12/2,273.91
  6. Step 6: Final answer
    x = 5,141.63

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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.