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Finding the Third Proportional to 18,223.88 and 23,286.38

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Solution

The third proportional to 18,223.88 and 23,286.38 is: 29,755.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,223.88 : 23,286.38 = 23,286.38 : x
  2. Step 2: Convert to fraction form
    18,223.88/23,286.38 = 23,286.38/x
  3. Step 3: Cross multiply
    18,223.88x = 23,286.38 × 23,286.38
  4. Step 4: Simplify right side
    18,223.88x = 542,255,260.64
  5. Step 5: Solve for x
    x = 542,255,260.64/18,223.88
  6. Step 6: Final answer
    x = 29,755.21

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.