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Finding the Third Proportional to 2,221.88 and 5,232.94

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Solution

The third proportional to 2,221.88 and 5,232.94 is: 12,324.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,221.88 : 5,232.94 = 5,232.94 : x
  2. Step 2: Convert to fraction form
    2,221.88/5,232.94 = 5,232.94/x
  3. Step 3: Cross multiply
    2,221.88x = 5,232.94 × 5,232.94
  4. Step 4: Simplify right side
    2,221.88x = 27,383,634.88
  5. Step 5: Solve for x
    x = 27,383,634.88/2,221.88
  6. Step 6: Final answer
    x = 12,324.56

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.