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Finding the Third Proportional to 2,249.65 and 3,383.02

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Solution

The third proportional to 2,249.65 and 3,383.02 is: 5,087.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249.65 : 3,383.02 = 3,383.02 : x
  2. Step 2: Convert to fraction form
    2,249.65/3,383.02 = 3,383.02/x
  3. Step 3: Cross multiply
    2,249.65x = 3,383.02 × 3,383.02
  4. Step 4: Simplify right side
    2,249.65x = 11,444,794.72
  5. Step 5: Solve for x
    x = 11,444,794.72/2,249.65
  6. Step 6: Final answer
    x = 5,087.37

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Why These Related Problems?

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