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Finding the Third Proportional to 8,081.30 and 12,131.72

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Solution

The third proportional to 8,081.30 and 12,131.72 is: 18,212.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,081.30 : 12,131.72 = 12,131.72 : x
  2. Step 2: Convert to fraction form
    8,081.30/12,131.72 = 12,131.72/x
  3. Step 3: Cross multiply
    8,081.30x = 12,131.72 × 12,131.72
  4. Step 4: Simplify right side
    8,081.30x = 147,178,599.83
  5. Step 5: Solve for x
    x = 147,178,599.83/8,081.30
  6. Step 6: Final answer
    x = 18,212.25

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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.