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Finding the Third Proportional to 23,961 and 50,405

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Solution

The third proportional to 23,961 and 50,405 is: 106,033.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,961 : 50,405 = 50,405 : x
  2. Step 2: Convert to fraction form
    23,961/50,405 = 50,405/x
  3. Step 3: Cross multiply
    23,961x = 50,405 × 50,405
  4. Step 4: Simplify right side
    23,961x = 2,540,664,025
  5. Step 5: Solve for x
    x = 2,540,664,025/23,961
  6. Step 6: Final answer
    x = 106,033.31

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.