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Finding the Third Proportional to 28,917 and 50,949

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Solution

The third proportional to 28,917 and 50,949 is: 89,767.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,917 : 50,949 = 50,949 : x
  2. Step 2: Convert to fraction form
    28,917/50,949 = 50,949/x
  3. Step 3: Cross multiply
    28,917x = 50,949 × 50,949
  4. Step 4: Simplify right side
    28,917x = 2,595,800,601
  5. Step 5: Solve for x
    x = 2,595,800,601/28,917
  6. Step 6: Final answer
    x = 89,767.29

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.