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Finding the Third Proportional to 8,371.37 and 11,400.22

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Solution

The third proportional to 8,371.37 and 11,400.22 is: 15,524.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,371.37 : 11,400.22 = 11,400.22 : x
  2. Step 2: Convert to fraction form
    8,371.37/11,400.22 = 11,400.22/x
  3. Step 3: Cross multiply
    8,371.37x = 11,400.22 × 11,400.22
  4. Step 4: Simplify right side
    8,371.37x = 129,965,076.61
  5. Step 5: Solve for x
    x = 129,965,076.61/8,371.37
  6. Step 6: Final answer
    x = 15,524.95

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.