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Finding the Third Proportional to 20,214.38 and 44,136.75

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Solution

The third proportional to 20,214.38 and 44,136.75 is: 96,369.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,214.38 : 44,136.75 = 44,136.75 : x
  2. Step 2: Convert to fraction form
    20,214.38/44,136.75 = 44,136.75/x
  3. Step 3: Cross multiply
    20,214.38x = 44,136.75 × 44,136.75
  4. Step 4: Simplify right side
    20,214.38x = 1,948,052,700.56
  5. Step 5: Solve for x
    x = 1,948,052,700.56/20,214.38
  6. Step 6: Final answer
    x = 96,369.67

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.