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Finding the Third Proportional to 11,074.22 and 23,786.16

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Solution

The third proportional to 11,074.22 and 23,786.16 is: 51,089.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,074.22 : 23,786.16 = 23,786.16 : x
  2. Step 2: Convert to fraction form
    11,074.22/23,786.16 = 23,786.16/x
  3. Step 3: Cross multiply
    11,074.22x = 23,786.16 × 23,786.16
  4. Step 4: Simplify right side
    11,074.22x = 565,781,229.15
  5. Step 5: Solve for x
    x = 565,781,229.15/11,074.22
  6. Step 6: Final answer
    x = 51,089.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.