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Finding the Third Proportional to 11,121.75 and 21,150

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Solution

The third proportional to 11,121.75 and 21,150 is: 40,220.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,121.75 : 21,150 = 21,150 : x
  2. Step 2: Convert to fraction form
    11,121.75/21,150 = 21,150/x
  3. Step 3: Cross multiply
    11,121.75x = 21,150 × 21,150
  4. Step 4: Simplify right side
    11,121.75x = 447,322,500
  5. Step 5: Solve for x
    x = 447,322,500/11,121.75
  6. Step 6: Final answer
    x = 40,220.51

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These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.