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Finding the Third Proportional to 4,969.69 and 11,976.19

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Solution

The third proportional to 4,969.69 and 11,976.19 is: 28,860.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.69 : 11,976.19 = 11,976.19 : x
  2. Step 2: Convert to fraction form
    4,969.69/11,976.19 = 11,976.19/x
  3. Step 3: Cross multiply
    4,969.69x = 11,976.19 × 11,976.19
  4. Step 4: Simplify right side
    4,969.69x = 143,429,067.04
  5. Step 5: Solve for x
    x = 143,429,067.04/4,969.69
  6. Step 6: Final answer
    x = 28,860.78

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.