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Finding the Third Proportional to 23,384 and 50,962

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Solution

The third proportional to 23,384 and 50,962 is: 111,064.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,384 : 50,962 = 50,962 : x
  2. Step 2: Convert to fraction form
    23,384/50,962 = 50,962/x
  3. Step 3: Cross multiply
    23,384x = 50,962 × 50,962
  4. Step 4: Simplify right side
    23,384x = 2,597,125,444
  5. Step 5: Solve for x
    x = 2,597,125,444/23,384
  6. Step 6: Final answer
    x = 111,064.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.