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Finding the Third Proportional to 3,267 and 3,753

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Solution

The third proportional to 3,267 and 3,753 is: 4,311.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,267 : 3,753 = 3,753 : x
  2. Step 2: Convert to fraction form
    3,267/3,753 = 3,753/x
  3. Step 3: Cross multiply
    3,267x = 3,753 × 3,753
  4. Step 4: Simplify right side
    3,267x = 14,085,009
  5. Step 5: Solve for x
    x = 14,085,009/3,267
  6. Step 6: Final answer
    x = 4,311.30

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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.