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Finding the Third Proportional to 994 and 2,675

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Solution

The third proportional to 994 and 2,675 is: 7,198.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    994 : 2,675 = 2,675 : x
  2. Step 2: Convert to fraction form
    994/2,675 = 2,675/x
  3. Step 3: Cross multiply
    994x = 2,675 × 2,675
  4. Step 4: Simplify right side
    994x = 7,155,625
  5. Step 5: Solve for x
    x = 7,155,625/994
  6. Step 6: Final answer
    x = 7,198.82

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.