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Finding the Third Proportional to 8,614.69 and 13,879.69

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Solution

The third proportional to 8,614.69 and 13,879.69 is: 22,362.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,614.69 : 13,879.69 = 13,879.69 : x
  2. Step 2: Convert to fraction form
    8,614.69/13,879.69 = 13,879.69/x
  3. Step 3: Cross multiply
    8,614.69x = 13,879.69 × 13,879.69
  4. Step 4: Simplify right side
    8,614.69x = 192,645,725.10
  5. Step 5: Solve for x
    x = 192,645,725.10/8,614.69
  6. Step 6: Final answer
    x = 22,362.47

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.