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Finding the Third Proportional to 13,425 and 20,150

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Solution

The third proportional to 13,425 and 20,150 is: 30,243.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,425 : 20,150 = 20,150 : x
  2. Step 2: Convert to fraction form
    13,425/20,150 = 20,150/x
  3. Step 3: Cross multiply
    13,425x = 20,150 × 20,150
  4. Step 4: Simplify right side
    13,425x = 406,022,500
  5. Step 5: Solve for x
    x = 406,022,500/13,425
  6. Step 6: Final answer
    x = 30,243.76

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