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Finding the Third Proportional to 23,651 and 50,993

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Solution

The third proportional to 23,651 and 50,993 is: 109,944.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,651 : 50,993 = 50,993 : x
  2. Step 2: Convert to fraction form
    23,651/50,993 = 50,993/x
  3. Step 3: Cross multiply
    23,651x = 50,993 × 50,993
  4. Step 4: Simplify right side
    23,651x = 2,600,286,049
  5. Step 5: Solve for x
    x = 2,600,286,049/23,651
  6. Step 6: Final answer
    x = 109,944.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.