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Finding the Third Proportional to 8,108 and 18,830

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Solution

The third proportional to 8,108 and 18,830 is: 43,730.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,108 : 18,830 = 18,830 : x
  2. Step 2: Convert to fraction form
    8,108/18,830 = 18,830/x
  3. Step 3: Cross multiply
    8,108x = 18,830 × 18,830
  4. Step 4: Simplify right side
    8,108x = 354,568,900
  5. Step 5: Solve for x
    x = 354,568,900/8,108
  6. Step 6: Final answer
    x = 43,730.75

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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.