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Finding the Third Proportional to 13,609.50 and 20,399.25

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Solution

The third proportional to 13,609.50 and 20,399.25 is: 30,576.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,609.50 : 20,399.25 = 20,399.25 : x
  2. Step 2: Convert to fraction form
    13,609.50/20,399.25 = 20,399.25/x
  3. Step 3: Cross multiply
    13,609.50x = 20,399.25 × 20,399.25
  4. Step 4: Simplify right side
    13,609.50x = 416,129,400.56
  5. Step 5: Solve for x
    x = 416,129,400.56/13,609.50
  6. Step 6: Final answer
    x = 30,576.39

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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.