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Finding the Third Proportional to 11,121.75 and 20,846.25

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Solution

The third proportional to 11,121.75 and 20,846.25 is: 39,073.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,121.75 : 20,846.25 = 20,846.25 : x
  2. Step 2: Convert to fraction form
    11,121.75/20,846.25 = 20,846.25/x
  3. Step 3: Cross multiply
    11,121.75x = 20,846.25 × 20,846.25
  4. Step 4: Simplify right side
    11,121.75x = 434,566,139.06
  5. Step 5: Solve for x
    x = 434,566,139.06/11,121.75
  6. Step 6: Final answer
    x = 39,073.54

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.