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Finding the Third Proportional to 18,302.25 and 39,723.75

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Solution

The third proportional to 18,302.25 and 39,723.75 is: 86,217.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,302.25 : 39,723.75 = 39,723.75 : x
  2. Step 2: Convert to fraction form
    18,302.25/39,723.75 = 39,723.75/x
  3. Step 3: Cross multiply
    18,302.25x = 39,723.75 × 39,723.75
  4. Step 4: Simplify right side
    18,302.25x = 1,577,976,314.06
  5. Step 5: Solve for x
    x = 1,577,976,314.06/18,302.25
  6. Step 6: Final answer
    x = 86,217.61

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.