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Finding the Third Proportional to 8,500 and 20,098

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Solution

The third proportional to 8,500 and 20,098 is: 47,521.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,500 : 20,098 = 20,098 : x
  2. Step 2: Convert to fraction form
    8,500/20,098 = 20,098/x
  3. Step 3: Cross multiply
    8,500x = 20,098 × 20,098
  4. Step 4: Simplify right side
    8,500x = 403,929,604
  5. Step 5: Solve for x
    x = 403,929,604/8,500
  6. Step 6: Final answer
    x = 47,521.13

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.