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Finding the Third Proportional to 2,005 and 3,225

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Solution

The third proportional to 2,005 and 3,225 is: 5,187.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005 : 3,225 = 3,225 : x
  2. Step 2: Convert to fraction form
    2,005/3,225 = 3,225/x
  3. Step 3: Cross multiply
    2,005x = 3,225 × 3,225
  4. Step 4: Simplify right side
    2,005x = 10,400,625
  5. Step 5: Solve for x
    x = 10,400,625/2,005
  6. Step 6: Final answer
    x = 5,187.34

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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.