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Finding the Third Proportional to 23,941 and 50,493.50

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Solution

The third proportional to 23,941 and 50,493.50 is: 106,494.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,941 : 50,493.50 = 50,493.50 : x
  2. Step 2: Convert to fraction form
    23,941/50,493.50 = 50,493.50/x
  3. Step 3: Cross multiply
    23,941x = 50,493.50 × 50,493.50
  4. Step 4: Simplify right side
    23,941x = 2,549,593,542.25
  5. Step 5: Solve for x
    x = 2,549,593,542.25/23,941
  6. Step 6: Final answer
    x = 106,494.86

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.