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Finding the Third Proportional to 1,448.72 and 2,179.83

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Solution

The third proportional to 1,448.72 and 2,179.83 is: 3,279.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.72 : 2,179.83 = 2,179.83 : x
  2. Step 2: Convert to fraction form
    1,448.72/2,179.83 = 2,179.83/x
  3. Step 3: Cross multiply
    1,448.72x = 2,179.83 × 2,179.83
  4. Step 4: Simplify right side
    1,448.72x = 4,751,650.65
  5. Step 5: Solve for x
    x = 4,751,650.65/1,448.72
  6. Step 6: Final answer
    x = 3,279.90

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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.