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Finding the Third Proportional to 1,951.44 and 4,249.25

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Solution

The third proportional to 1,951.44 and 4,249.25 is: 9,252.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,951.44 : 4,249.25 = 4,249.25 : x
  2. Step 2: Convert to fraction form
    1,951.44/4,249.25 = 4,249.25/x
  3. Step 3: Cross multiply
    1,951.44x = 4,249.25 × 4,249.25
  4. Step 4: Simplify right side
    1,951.44x = 18,056,125.56
  5. Step 5: Solve for x
    x = 18,056,125.56/1,951.44
  6. Step 6: Final answer
    x = 9,252.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.