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Finding the Third Proportional to 3,816 and 8,296

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Solution

The third proportional to 3,816 and 8,296 is: 18,035.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816 : 8,296 = 8,296 : x
  2. Step 2: Convert to fraction form
    3,816/8,296 = 8,296/x
  3. Step 3: Cross multiply
    3,816x = 8,296 × 8,296
  4. Step 4: Simplify right side
    3,816x = 68,823,616
  5. Step 5: Solve for x
    x = 68,823,616/3,816
  6. Step 6: Final answer
    x = 18,035.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.