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Finding the Third Proportional to 12,223.75 and 18,362.75

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Solution

The third proportional to 12,223.75 and 18,362.75 is: 27,584.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,223.75 : 18,362.75 = 18,362.75 : x
  2. Step 2: Convert to fraction form
    12,223.75/18,362.75 = 18,362.75/x
  3. Step 3: Cross multiply
    12,223.75x = 18,362.75 × 18,362.75
  4. Step 4: Simplify right side
    12,223.75x = 337,190,587.56
  5. Step 5: Solve for x
    x = 337,190,587.56/12,223.75
  6. Step 6: Final answer
    x = 27,584.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.