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Finding the Third Proportional to 3,751.73 and 8,209.27

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Solution

The third proportional to 3,751.73 and 8,209.27 is: 17,962.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,751.73 : 8,209.27 = 8,209.27 : x
  2. Step 2: Convert to fraction form
    3,751.73/8,209.27 = 8,209.27/x
  3. Step 3: Cross multiply
    3,751.73x = 8,209.27 × 8,209.27
  4. Step 4: Simplify right side
    3,751.73x = 67,392,042.10
  5. Step 5: Solve for x
    x = 67,392,042.10/3,751.73
  6. Step 6: Final answer
    x = 17,962.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.