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Finding the Third Proportional to 13,811.25 and 18,408.38

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Solution

The third proportional to 13,811.25 and 18,408.38 is: 24,535.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,811.25 : 18,408.38 = 18,408.38 : x
  2. Step 2: Convert to fraction form
    13,811.25/18,408.38 = 18,408.38/x
  3. Step 3: Cross multiply
    13,811.25x = 18,408.38 × 18,408.38
  4. Step 4: Simplify right side
    13,811.25x = 338,868,270.14
  5. Step 5: Solve for x
    x = 338,868,270.14/13,811.25
  6. Step 6: Final answer
    x = 24,535.67

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.