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Finding the Third Proportional to 8,614.69 and 18,844.31

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Solution

The third proportional to 8,614.69 and 18,844.31 is: 41,221.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,614.69 : 18,844.31 = 18,844.31 : x
  2. Step 2: Convert to fraction form
    8,614.69/18,844.31 = 18,844.31/x
  3. Step 3: Cross multiply
    8,614.69x = 18,844.31 × 18,844.31
  4. Step 4: Simplify right side
    8,614.69x = 355,108,113.60
  5. Step 5: Solve for x
    x = 355,108,113.60/8,614.69
  6. Step 6: Final answer
    x = 41,221.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.