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Finding the Third Proportional to 23,902 and 51,949

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Solution

The third proportional to 23,902 and 51,949 is: 112,906.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,902 : 51,949 = 51,949 : x
  2. Step 2: Convert to fraction form
    23,902/51,949 = 51,949/x
  3. Step 3: Cross multiply
    23,902x = 51,949 × 51,949
  4. Step 4: Simplify right side
    23,902x = 2,698,698,601
  5. Step 5: Solve for x
    x = 2,698,698,601/23,902
  6. Step 6: Final answer
    x = 112,906.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.