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Finding the Third Proportional to 4,992 and 8,048

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Solution

The third proportional to 4,992 and 8,048 is: 12,974.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,992 : 8,048 = 8,048 : x
  2. Step 2: Convert to fraction form
    4,992/8,048 = 8,048/x
  3. Step 3: Cross multiply
    4,992x = 8,048 × 8,048
  4. Step 4: Simplify right side
    4,992x = 64,770,304
  5. Step 5: Solve for x
    x = 64,770,304/4,992
  6. Step 6: Final answer
    x = 12,974.82

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.