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Finding the Third Proportional to 8,224.03 and 12,233.53

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Solution

The third proportional to 8,224.03 and 12,233.53 is: 18,197.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224.03 : 12,233.53 = 12,233.53 : x
  2. Step 2: Convert to fraction form
    8,224.03/12,233.53 = 12,233.53/x
  3. Step 3: Cross multiply
    8,224.03x = 12,233.53 × 12,233.53
  4. Step 4: Simplify right side
    8,224.03x = 149,659,286.84
  5. Step 5: Solve for x
    x = 149,659,286.84/8,224.03
  6. Step 6: Final answer
    x = 18,197.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.