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Finding the Third Proportional to 9,404.86 and 12,231.63

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Solution

The third proportional to 9,404.86 and 12,231.63 is: 15,908.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,404.86 : 12,231.63 = 12,231.63 : x
  2. Step 2: Convert to fraction form
    9,404.86/12,231.63 = 12,231.63/x
  3. Step 3: Cross multiply
    9,404.86x = 12,231.63 × 12,231.63
  4. Step 4: Simplify right side
    9,404.86x = 149,612,841.26
  5. Step 5: Solve for x
    x = 149,612,841.26/9,404.86
  6. Step 6: Final answer
    x = 15,908.04

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.