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Finding the Third Proportional to 23,400 and 50,256

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Solution

The third proportional to 23,400 and 50,256 is: 107,934.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,400 : 50,256 = 50,256 : x
  2. Step 2: Convert to fraction form
    23,400/50,256 = 50,256/x
  3. Step 3: Cross multiply
    23,400x = 50,256 × 50,256
  4. Step 4: Simplify right side
    23,400x = 2,525,665,536
  5. Step 5: Solve for x
    x = 2,525,665,536/23,400
  6. Step 6: Final answer
    x = 107,934.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.