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Finding the Third Proportional to 23,789.25 and 50,949

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Solution

The third proportional to 23,789.25 and 50,949 is: 109,116.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,789.25 : 50,949 = 50,949 : x
  2. Step 2: Convert to fraction form
    23,789.25/50,949 = 50,949/x
  3. Step 3: Cross multiply
    23,789.25x = 50,949 × 50,949
  4. Step 4: Simplify right side
    23,789.25x = 2,595,800,601
  5. Step 5: Solve for x
    x = 2,595,800,601/23,789.25
  6. Step 6: Final answer
    x = 109,116.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.