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Finding the Third Proportional to 5,187.38 and 11,976.19

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Solution

The third proportional to 5,187.38 and 11,976.19 is: 27,649.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,187.38 : 11,976.19 = 11,976.19 : x
  2. Step 2: Convert to fraction form
    5,187.38/11,976.19 = 11,976.19/x
  3. Step 3: Cross multiply
    5,187.38x = 11,976.19 × 11,976.19
  4. Step 4: Simplify right side
    5,187.38x = 143,429,067.04
  5. Step 5: Solve for x
    x = 143,429,067.04/5,187.38
  6. Step 6: Final answer
    x = 27,649.64

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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.