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Finding the Third Proportional to 3,997 and 8,219

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Solution

The third proportional to 3,997 and 8,219 is: 16,900.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997 : 8,219 = 8,219 : x
  2. Step 2: Convert to fraction form
    3,997/8,219 = 8,219/x
  3. Step 3: Cross multiply
    3,997x = 8,219 × 8,219
  4. Step 4: Simplify right side
    3,997x = 67,551,961
  5. Step 5: Solve for x
    x = 67,551,961/3,997
  6. Step 6: Final answer
    x = 16,900.67

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.