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Finding the Third Proportional to 23,097 and 50,568

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Solution

The third proportional to 23,097 and 50,568 is: 110,712.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,097 : 50,568 = 50,568 : x
  2. Step 2: Convert to fraction form
    23,097/50,568 = 50,568/x
  3. Step 3: Cross multiply
    23,097x = 50,568 × 50,568
  4. Step 4: Simplify right side
    23,097x = 2,557,122,624
  5. Step 5: Solve for x
    x = 2,557,122,624/23,097
  6. Step 6: Final answer
    x = 110,712.33

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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.