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Finding the Third Proportional to 23,228 and 50,906

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Solution

The third proportional to 23,228 and 50,906 is: 111,564.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,228 : 50,906 = 50,906 : x
  2. Step 2: Convert to fraction form
    23,228/50,906 = 50,906/x
  3. Step 3: Cross multiply
    23,228x = 50,906 × 50,906
  4. Step 4: Simplify right side
    23,228x = 2,591,420,836
  5. Step 5: Solve for x
    x = 2,591,420,836/23,228
  6. Step 6: Final answer
    x = 111,564.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.