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Finding the Third Proportional to 8,182.27 and 12,224.04

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Solution

The third proportional to 8,182.27 and 12,224.04 is: 18,262.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,182.27 : 12,224.04 = 12,224.04 : x
  2. Step 2: Convert to fraction form
    8,182.27/12,224.04 = 12,224.04/x
  3. Step 3: Cross multiply
    8,182.27x = 12,224.04 × 12,224.04
  4. Step 4: Simplify right side
    8,182.27x = 149,427,131.00
  5. Step 5: Solve for x
    x = 149,427,131.00/8,182.27
  6. Step 6: Final answer
    x = 18,262.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.