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Finding the Third Proportional to 7,936 and 12,116

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Solution

The third proportional to 7,936 and 12,116 is: 18,497.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,936 : 12,116 = 12,116 : x
  2. Step 2: Convert to fraction form
    7,936/12,116 = 12,116/x
  3. Step 3: Cross multiply
    7,936x = 12,116 × 12,116
  4. Step 4: Simplify right side
    7,936x = 146,797,456
  5. Step 5: Solve for x
    x = 146,797,456/7,936
  6. Step 6: Final answer
    x = 18,497.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.