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Finding the Third Proportional to 23,016 and 50,406

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Solution

The third proportional to 23,016 and 50,406 is: 110,391.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,016 : 50,406 = 50,406 : x
  2. Step 2: Convert to fraction form
    23,016/50,406 = 50,406/x
  3. Step 3: Cross multiply
    23,016x = 50,406 × 50,406
  4. Step 4: Simplify right side
    23,016x = 2,540,764,836
  5. Step 5: Solve for x
    x = 2,540,764,836/23,016
  6. Step 6: Final answer
    x = 110,391.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.