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Finding the Third Proportional to 3,424 and 8,116

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Solution

The third proportional to 3,424 and 8,116 is: 19,237.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424 : 8,116 = 8,116 : x
  2. Step 2: Convert to fraction form
    3,424/8,116 = 8,116/x
  3. Step 3: Cross multiply
    3,424x = 8,116 × 8,116
  4. Step 4: Simplify right side
    3,424x = 65,869,456
  5. Step 5: Solve for x
    x = 65,869,456/3,424
  6. Step 6: Final answer
    x = 19,237.57

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.