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Finding the Third Proportional to 4,081 and 5,978

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Solution

The third proportional to 4,081 and 5,978 is: 8,756.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,081 : 5,978 = 5,978 : x
  2. Step 2: Convert to fraction form
    4,081/5,978 = 5,978/x
  3. Step 3: Cross multiply
    4,081x = 5,978 × 5,978
  4. Step 4: Simplify right side
    4,081x = 35,736,484
  5. Step 5: Solve for x
    x = 35,736,484/4,081
  6. Step 6: Final answer
    x = 8,756.80

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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.