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Finding the Third Proportional to 997 and 2,479

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Solution

The third proportional to 997 and 2,479 is: 6,163.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    997 : 2,479 = 2,479 : x
  2. Step 2: Convert to fraction form
    997/2,479 = 2,479/x
  3. Step 3: Cross multiply
    997x = 2,479 × 2,479
  4. Step 4: Simplify right side
    997x = 6,145,441
  5. Step 5: Solve for x
    x = 6,145,441/997
  6. Step 6: Final answer
    x = 6,163.93

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Why These Related Problems?

These problems maintain the same ratio (2.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.