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Finding the Third Proportional to 4,092 and 5,991

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Solution

The third proportional to 4,092 and 5,991 is: 8,771.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,092 : 5,991 = 5,991 : x
  2. Step 2: Convert to fraction form
    4,092/5,991 = 5,991/x
  3. Step 3: Cross multiply
    4,092x = 5,991 × 5,991
  4. Step 4: Simplify right side
    4,092x = 35,892,081
  5. Step 5: Solve for x
    x = 35,892,081/4,092
  6. Step 6: Final answer
    x = 8,771.28

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.