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Finding the Third Proportional to 3,769.88 and 8,281.41

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Solution

The third proportional to 3,769.88 and 8,281.41 is: 18,192.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.88 : 8,281.41 = 8,281.41 : x
  2. Step 2: Convert to fraction form
    3,769.88/8,281.41 = 8,281.41/x
  3. Step 3: Cross multiply
    3,769.88x = 8,281.41 × 8,281.41
  4. Step 4: Simplify right side
    3,769.88x = 68,581,689.48
  5. Step 5: Solve for x
    x = 68,581,689.48/3,769.88
  6. Step 6: Final answer
    x = 18,192.03

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.