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Finding the Third Proportional to 2,399 and 2,885

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Solution

The third proportional to 2,399 and 2,885 is: 3,469.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399 : 2,885 = 2,885 : x
  2. Step 2: Convert to fraction form
    2,399/2,885 = 2,885/x
  3. Step 3: Cross multiply
    2,399x = 2,885 × 2,885
  4. Step 4: Simplify right side
    2,399x = 8,323,225
  5. Step 5: Solve for x
    x = 8,323,225/2,399
  6. Step 6: Final answer
    x = 3,469.46

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These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.