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Finding the Third Proportional to 8,109 and 18,793

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Solution

The third proportional to 8,109 and 18,793 is: 43,553.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,109 : 18,793 = 18,793 : x
  2. Step 2: Convert to fraction form
    8,109/18,793 = 18,793/x
  3. Step 3: Cross multiply
    8,109x = 18,793 × 18,793
  4. Step 4: Simplify right side
    8,109x = 353,176,849
  5. Step 5: Solve for x
    x = 353,176,849/8,109
  6. Step 6: Final answer
    x = 43,553.69

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.