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Finding the Third Proportional to 1,879.31 and 4,349.81

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Solution

The third proportional to 1,879.31 and 4,349.81 is: 10,067.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,879.31 : 4,349.81 = 4,349.81 : x
  2. Step 2: Convert to fraction form
    1,879.31/4,349.81 = 4,349.81/x
  3. Step 3: Cross multiply
    1,879.31x = 4,349.81 × 4,349.81
  4. Step 4: Simplify right side
    1,879.31x = 18,920,868.79
  5. Step 5: Solve for x
    x = 18,920,868.79/1,879.31
  6. Step 6: Final answer
    x = 10,067.97

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.