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Finding the Third Proportional to 8,442 and 18,109.13

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Solution

The third proportional to 8,442 and 18,109.13 is: 38,846.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,442 : 18,109.13 = 18,109.13 : x
  2. Step 2: Convert to fraction form
    8,442/18,109.13 = 18,109.13/x
  3. Step 3: Cross multiply
    8,442x = 18,109.13 × 18,109.13
  4. Step 4: Simplify right side
    8,442x = 327,940,408.27
  5. Step 5: Solve for x
    x = 327,940,408.27/8,442
  6. Step 6: Final answer
    x = 38,846.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.