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Finding the Third Proportional to 8,081.25 and 12,131.25

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Solution

The third proportional to 8,081.25 and 12,131.25 is: 18,210.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,081.25 : 12,131.25 = 12,131.25 : x
  2. Step 2: Convert to fraction form
    8,081.25/12,131.25 = 12,131.25/x
  3. Step 3: Cross multiply
    8,081.25x = 12,131.25 × 12,131.25
  4. Step 4: Simplify right side
    8,081.25x = 147,167,226.56
  5. Step 5: Solve for x
    x = 147,167,226.56/8,081.25
  6. Step 6: Final answer
    x = 18,210.95

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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.