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Finding the Third Proportional to 2,286 and 3,375

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Solution

The third proportional to 2,286 and 3,375 is: 4,982.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286 : 3,375 = 3,375 : x
  2. Step 2: Convert to fraction form
    2,286/3,375 = 3,375/x
  3. Step 3: Cross multiply
    2,286x = 3,375 × 3,375
  4. Step 4: Simplify right side
    2,286x = 11,390,625
  5. Step 5: Solve for x
    x = 11,390,625/2,286
  6. Step 6: Final answer
    x = 4,982.78

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.