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Finding the Third Proportional to 1,979.44 and 4,249.97

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Solution

The third proportional to 1,979.44 and 4,249.97 is: 9,124.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,979.44 : 4,249.97 = 4,249.97 : x
  2. Step 2: Convert to fraction form
    1,979.44/4,249.97 = 4,249.97/x
  3. Step 3: Cross multiply
    1,979.44x = 4,249.97 × 4,249.97
  4. Step 4: Simplify right side
    1,979.44x = 18,062,234.38
  5. Step 5: Solve for x
    x = 18,062,234.38/1,979.44
  6. Step 6: Final answer
    x = 9,124.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.