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Finding the Third Proportional to 8,234.35 and 17,959.46

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Solution

The third proportional to 8,234.35 and 17,959.46 is: 39,170.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.35 : 17,959.46 = 17,959.46 : x
  2. Step 2: Convert to fraction form
    8,234.35/17,959.46 = 17,959.46/x
  3. Step 3: Cross multiply
    8,234.35x = 17,959.46 × 17,959.46
  4. Step 4: Simplify right side
    8,234.35x = 322,542,061.78
  5. Step 5: Solve for x
    x = 322,542,061.78/8,234.35
  6. Step 6: Final answer
    x = 39,170.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.