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Finding the Third Proportional to 3,165 and 4,225

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Solution

The third proportional to 3,165 and 4,225 is: 5,640.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165 : 4,225 = 4,225 : x
  2. Step 2: Convert to fraction form
    3,165/4,225 = 4,225/x
  3. Step 3: Cross multiply
    3,165x = 4,225 × 4,225
  4. Step 4: Simplify right side
    3,165x = 17,850,625
  5. Step 5: Solve for x
    x = 17,850,625/3,165
  6. Step 6: Final answer
    x = 5,640.01

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.