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Finding the Third Proportional to 8,431.91 and 12,609.42

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Solution

The third proportional to 8,431.91 and 12,609.42 is: 18,856.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431.91 : 12,609.42 = 12,609.42 : x
  2. Step 2: Convert to fraction form
    8,431.91/12,609.42 = 12,609.42/x
  3. Step 3: Cross multiply
    8,431.91x = 12,609.42 × 12,609.42
  4. Step 4: Simplify right side
    8,431.91x = 158,997,520.02
  5. Step 5: Solve for x
    x = 158,997,520.02/8,431.91
  6. Step 6: Final answer
    x = 18,856.64

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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.