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Finding the Third Proportional to 13,509.25 and 20,209.88

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Solution

The third proportional to 13,509.25 and 20,209.88 is: 30,234.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,509.25 : 20,209.88 = 20,209.88 : x
  2. Step 2: Convert to fraction form
    13,509.25/20,209.88 = 20,209.88/x
  3. Step 3: Cross multiply
    13,509.25x = 20,209.88 × 20,209.88
  4. Step 4: Simplify right side
    13,509.25x = 408,439,047.52
  5. Step 5: Solve for x
    x = 408,439,047.52/13,509.25
  6. Step 6: Final answer
    x = 30,234.03

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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.