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Finding the Third Proportional to 23,852 and 50,104

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Solution

The third proportional to 23,852 and 50,104 is: 105,249.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,852 : 50,104 = 50,104 : x
  2. Step 2: Convert to fraction form
    23,852/50,104 = 50,104/x
  3. Step 3: Cross multiply
    23,852x = 50,104 × 50,104
  4. Step 4: Simplify right side
    23,852x = 2,510,410,816
  5. Step 5: Solve for x
    x = 2,510,410,816/23,852
  6. Step 6: Final answer
    x = 105,249.49

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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.