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Finding the Third Proportional to 992 and 2,399

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Solution

The third proportional to 992 and 2,399 is: 5,801.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    992 : 2,399 = 2,399 : x
  2. Step 2: Convert to fraction form
    992/2,399 = 2,399/x
  3. Step 3: Cross multiply
    992x = 2,399 × 2,399
  4. Step 4: Simplify right side
    992x = 5,755,201
  5. Step 5: Solve for x
    x = 5,755,201/992
  6. Step 6: Final answer
    x = 5,801.61

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.