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Finding the Third Proportional to 12,609.42 and 20,144.32

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Solution

The third proportional to 12,609.42 and 20,144.32 is: 32,181.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,609.42 : 20,144.32 = 20,144.32 : x
  2. Step 2: Convert to fraction form
    12,609.42/20,144.32 = 20,144.32/x
  3. Step 3: Cross multiply
    12,609.42x = 20,144.32 × 20,144.32
  4. Step 4: Simplify right side
    12,609.42x = 405,793,640.85
  5. Step 5: Solve for x
    x = 405,793,640.85/12,609.42
  6. Step 6: Final answer
    x = 32,181.78

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.