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Finding the Third Proportional to 23,241 and 50,205

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Solution

The third proportional to 23,241 and 50,205 is: 108,452.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,241 : 50,205 = 50,205 : x
  2. Step 2: Convert to fraction form
    23,241/50,205 = 50,205/x
  3. Step 3: Cross multiply
    23,241x = 50,205 × 50,205
  4. Step 4: Simplify right side
    23,241x = 2,520,542,025
  5. Step 5: Solve for x
    x = 2,520,542,025/23,241
  6. Step 6: Final answer
    x = 108,452.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.