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Finding the Third Proportional to 8,512 and 20,170

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Solution

The third proportional to 8,512 and 20,170 is: 47,794.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,512 : 20,170 = 20,170 : x
  2. Step 2: Convert to fraction form
    8,512/20,170 = 20,170/x
  3. Step 3: Cross multiply
    8,512x = 20,170 × 20,170
  4. Step 4: Simplify right side
    8,512x = 406,828,900
  5. Step 5: Solve for x
    x = 406,828,900/8,512
  6. Step 6: Final answer
    x = 47,794.75

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.