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Finding the Third Proportional to 23,406 and 44,652

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Solution

The third proportional to 23,406 and 44,652 is: 85,183.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,406 : 44,652 = 44,652 : x
  2. Step 2: Convert to fraction form
    23,406/44,652 = 44,652/x
  3. Step 3: Cross multiply
    23,406x = 44,652 × 44,652
  4. Step 4: Simplify right side
    23,406x = 1,993,801,104
  5. Step 5: Solve for x
    x = 1,993,801,104/23,406
  6. Step 6: Final answer
    x = 85,183.33

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.