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Finding the Third Proportional to 12,225.38 and 18,375.75

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Solution

The third proportional to 12,225.38 and 18,375.75 is: 27,620.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,225.38 : 18,375.75 = 18,375.75 : x
  2. Step 2: Convert to fraction form
    12,225.38/18,375.75 = 18,375.75/x
  3. Step 3: Cross multiply
    12,225.38x = 18,375.75 × 18,375.75
  4. Step 4: Simplify right side
    12,225.38x = 337,668,188.06
  5. Step 5: Solve for x
    x = 337,668,188.06/12,225.38
  6. Step 6: Final answer
    x = 27,620.27

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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.