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Finding the Third Proportional to 6,923 and 8,219

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Solution

The third proportional to 6,923 and 8,219 is: 9,757.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,923 : 8,219 = 8,219 : x
  2. Step 2: Convert to fraction form
    6,923/8,219 = 8,219/x
  3. Step 3: Cross multiply
    6,923x = 8,219 × 8,219
  4. Step 4: Simplify right side
    6,923x = 67,551,961
  5. Step 5: Solve for x
    x = 67,551,961/6,923
  6. Step 6: Final answer
    x = 9,757.61

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Why These Related Problems?

These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.