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Finding the Third Proportional to 8,286.75 and 18,091.13

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Solution

The third proportional to 8,286.75 and 18,091.13 is: 39,495.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286.75 : 18,091.13 = 18,091.13 : x
  2. Step 2: Convert to fraction form
    8,286.75/18,091.13 = 18,091.13/x
  3. Step 3: Cross multiply
    8,286.75x = 18,091.13 × 18,091.13
  4. Step 4: Simplify right side
    8,286.75x = 327,288,803.77
  5. Step 5: Solve for x
    x = 327,288,803.77/8,286.75
  6. Step 6: Final answer
    x = 39,495.44

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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.