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Finding the Third Proportional to 1,863.84 and 4,249.97

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Solution

The third proportional to 1,863.84 and 4,249.97 is: 9,690.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863.84 : 4,249.97 = 4,249.97 : x
  2. Step 2: Convert to fraction form
    1,863.84/4,249.97 = 4,249.97/x
  3. Step 3: Cross multiply
    1,863.84x = 4,249.97 × 4,249.97
  4. Step 4: Simplify right side
    1,863.84x = 18,062,234.38
  5. Step 5: Solve for x
    x = 18,062,234.38/1,863.84
  6. Step 6: Final answer
    x = 9,690.85

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.