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Finding the Third Proportional to 8,115.19 and 12,982.78

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Solution

The third proportional to 8,115.19 and 12,982.78 is: 20,770.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,115.19 : 12,982.78 = 12,982.78 : x
  2. Step 2: Convert to fraction form
    8,115.19/12,982.78 = 12,982.78/x
  3. Step 3: Cross multiply
    8,115.19x = 12,982.78 × 12,982.78
  4. Step 4: Simplify right side
    8,115.19x = 168,552,608.99
  5. Step 5: Solve for x
    x = 168,552,608.99/8,115.19
  6. Step 6: Final answer
    x = 20,770.02

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.