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Finding the Third Proportional to 8,216 and 11,976

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Solution

The third proportional to 8,216 and 11,976 is: 17,456.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216 : 11,976 = 11,976 : x
  2. Step 2: Convert to fraction form
    8,216/11,976 = 11,976/x
  3. Step 3: Cross multiply
    8,216x = 11,976 × 11,976
  4. Step 4: Simplify right side
    8,216x = 143,424,576
  5. Step 5: Solve for x
    x = 143,424,576/8,216
  6. Step 6: Final answer
    x = 17,456.74

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.