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Finding the Third Proportional to 5,978 and 8,923

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Solution

The third proportional to 5,978 and 8,923 is: 13,318.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,978 : 8,923 = 8,923 : x
  2. Step 2: Convert to fraction form
    5,978/8,923 = 8,923/x
  3. Step 3: Cross multiply
    5,978x = 8,923 × 8,923
  4. Step 4: Simplify right side
    5,978x = 79,619,929
  5. Step 5: Solve for x
    x = 79,619,929/5,978
  6. Step 6: Final answer
    x = 13,318.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.