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Finding the Third Proportional to 7,996 and 12,105

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Solution

The third proportional to 7,996 and 12,105 is: 18,325.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,996 : 12,105 = 12,105 : x
  2. Step 2: Convert to fraction form
    7,996/12,105 = 12,105/x
  3. Step 3: Cross multiply
    7,996x = 12,105 × 12,105
  4. Step 4: Simplify right side
    7,996x = 146,531,025
  5. Step 5: Solve for x
    x = 146,531,025/7,996
  6. Step 6: Final answer
    x = 18,325.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.