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Finding the Third Proportional to 23,223 and 50,649

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Solution

The third proportional to 23,223 and 50,649 is: 110,464.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,223 : 50,649 = 50,649 : x
  2. Step 2: Convert to fraction form
    23,223/50,649 = 50,649/x
  3. Step 3: Cross multiply
    23,223x = 50,649 × 50,649
  4. Step 4: Simplify right side
    23,223x = 2,565,321,201
  5. Step 5: Solve for x
    x = 2,565,321,201/23,223
  6. Step 6: Final answer
    x = 110,464.68

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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.