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Finding the Third Proportional to 8,512.17 and 18,334.27

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Solution

The third proportional to 8,512.17 and 18,334.27 is: 39,489.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,512.17 : 18,334.27 = 18,334.27 : x
  2. Step 2: Convert to fraction form
    8,512.17/18,334.27 = 18,334.27/x
  3. Step 3: Cross multiply
    8,512.17x = 18,334.27 × 18,334.27
  4. Step 4: Simplify right side
    8,512.17x = 336,145,296.01
  5. Step 5: Solve for x
    x = 336,145,296.01/8,512.17
  6. Step 6: Final answer
    x = 39,489.96

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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.