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Finding the Third Proportional to 3,003 and 3,266

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Solution

The third proportional to 3,003 and 3,266 is: 3,552.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,003 : 3,266 = 3,266 : x
  2. Step 2: Convert to fraction form
    3,003/3,266 = 3,266/x
  3. Step 3: Cross multiply
    3,003x = 3,266 × 3,266
  4. Step 4: Simplify right side
    3,003x = 10,666,756
  5. Step 5: Solve for x
    x = 10,666,756/3,003
  6. Step 6: Final answer
    x = 3,552.03

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.