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Finding the Third Proportional to 13,193 and 20,181

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Solution

The third proportional to 13,193 and 20,181 is: 30,870.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,193 : 20,181 = 20,181 : x
  2. Step 2: Convert to fraction form
    13,193/20,181 = 20,181/x
  3. Step 3: Cross multiply
    13,193x = 20,181 × 20,181
  4. Step 4: Simplify right side
    13,193x = 407,272,761
  5. Step 5: Solve for x
    x = 407,272,761/13,193
  6. Step 6: Final answer
    x = 30,870.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.