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Finding the Third Proportional to 2,005 and 3,223

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Solution

The third proportional to 2,005 and 3,223 is: 5,180.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005 : 3,223 = 3,223 : x
  2. Step 2: Convert to fraction form
    2,005/3,223 = 3,223/x
  3. Step 3: Cross multiply
    2,005x = 3,223 × 3,223
  4. Step 4: Simplify right side
    2,005x = 10,387,729
  5. Step 5: Solve for x
    x = 10,387,729/2,005
  6. Step 6: Final answer
    x = 5,180.91

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.