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Finding the Third Proportional to 11,372.25 and 23,310.75

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Solution

The third proportional to 11,372.25 and 23,310.75 is: 47,782.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,372.25 : 23,310.75 = 23,310.75 : x
  2. Step 2: Convert to fraction form
    11,372.25/23,310.75 = 23,310.75/x
  3. Step 3: Cross multiply
    11,372.25x = 23,310.75 × 23,310.75
  4. Step 4: Simplify right side
    11,372.25x = 543,391,065.56
  5. Step 5: Solve for x
    x = 543,391,065.56/11,372.25
  6. Step 6: Final answer
    x = 47,782.19

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.