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Finding the Third Proportional to 11,211.75 and 23,790.75

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Solution

The third proportional to 11,211.75 and 23,790.75 is: 50,482.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,211.75 : 23,790.75 = 23,790.75 : x
  2. Step 2: Convert to fraction form
    11,211.75/23,790.75 = 23,790.75/x
  3. Step 3: Cross multiply
    11,211.75x = 23,790.75 × 23,790.75
  4. Step 4: Simplify right side
    11,211.75x = 565,999,785.56
  5. Step 5: Solve for x
    x = 565,999,785.56/11,211.75
  6. Step 6: Final answer
    x = 50,482.73

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.