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Finding the Third Proportional to 3,694.50 and 8,209.13

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Solution

The third proportional to 3,694.50 and 8,209.13 is: 18,240.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.50 : 8,209.13 = 8,209.13 : x
  2. Step 2: Convert to fraction form
    3,694.50/8,209.13 = 8,209.13/x
  3. Step 3: Cross multiply
    3,694.50x = 8,209.13 × 8,209.13
  4. Step 4: Simplify right side
    3,694.50x = 67,389,733.27
  5. Step 5: Solve for x
    x = 67,389,733.27/3,694.50
  6. Step 6: Final answer
    x = 18,240.56

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.