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Finding the Third Proportional to 2,225 and 3,325

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Solution

The third proportional to 2,225 and 3,325 is: 4,968.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225 : 3,325 = 3,325 : x
  2. Step 2: Convert to fraction form
    2,225/3,325 = 3,325/x
  3. Step 3: Cross multiply
    2,225x = 3,325 × 3,325
  4. Step 4: Simplify right side
    2,225x = 11,055,625
  5. Step 5: Solve for x
    x = 11,055,625/2,225
  6. Step 6: Final answer
    x = 4,968.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.