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Finding the Third Proportional to 8,517.34 and 18,336.06

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Solution

The third proportional to 8,517.34 and 18,336.06 is: 39,473.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,517.34 : 18,336.06 = 18,336.06 : x
  2. Step 2: Convert to fraction form
    8,517.34/18,336.06 = 18,336.06/x
  3. Step 3: Cross multiply
    8,517.34x = 18,336.06 × 18,336.06
  4. Step 4: Simplify right side
    8,517.34x = 336,211,044.75
  5. Step 5: Solve for x
    x = 336,211,044.75/8,517.34
  6. Step 6: Final answer
    x = 39,473.71

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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.