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Finding the Third Proportional to 18,194.25 and 27,619.88

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Solution

The third proportional to 18,194.25 and 27,619.88 is: 41,928.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,194.25 : 27,619.88 = 27,619.88 : x
  2. Step 2: Convert to fraction form
    18,194.25/27,619.88 = 27,619.88/x
  3. Step 3: Cross multiply
    18,194.25x = 27,619.88 × 27,619.88
  4. Step 4: Simplify right side
    18,194.25x = 762,857,495.02
  5. Step 5: Solve for x
    x = 762,857,495.02/18,194.25
  6. Step 6: Final answer
    x = 41,928.49

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.