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Finding the Third Proportional to 23,958 and 50,399

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Solution

The third proportional to 23,958 and 50,399 is: 106,021.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,958 : 50,399 = 50,399 : x
  2. Step 2: Convert to fraction form
    23,958/50,399 = 50,399/x
  3. Step 3: Cross multiply
    23,958x = 50,399 × 50,399
  4. Step 4: Simplify right side
    23,958x = 2,540,059,201
  5. Step 5: Solve for x
    x = 2,540,059,201/23,958
  6. Step 6: Final answer
    x = 106,021.34

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