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Finding the Third Proportional to 23,802 and 50,250

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Solution

The third proportional to 23,802 and 50,250 is: 106,086.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,802 : 50,250 = 50,250 : x
  2. Step 2: Convert to fraction form
    23,802/50,250 = 50,250/x
  3. Step 3: Cross multiply
    23,802x = 50,250 × 50,250
  4. Step 4: Simplify right side
    23,802x = 2,525,062,500
  5. Step 5: Solve for x
    x = 2,525,062,500/23,802
  6. Step 6: Final answer
    x = 106,086.15

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