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Finding the Third Proportional to 5,992 and 7,948

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Solution

The third proportional to 5,992 and 7,948 is: 10,542.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,992 : 7,948 = 7,948 : x
  2. Step 2: Convert to fraction form
    5,992/7,948 = 7,948/x
  3. Step 3: Cross multiply
    5,992x = 7,948 × 7,948
  4. Step 4: Simplify right side
    5,992x = 63,170,704
  5. Step 5: Solve for x
    x = 63,170,704/5,992
  6. Step 6: Final answer
    x = 10,542.51

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.