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Finding the Third Proportional to 18,286.50 and 24,513.75

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Solution

The third proportional to 18,286.50 and 24,513.75 is: 32,861.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,286.50 : 24,513.75 = 24,513.75 : x
  2. Step 2: Convert to fraction form
    18,286.50/24,513.75 = 24,513.75/x
  3. Step 3: Cross multiply
    18,286.50x = 24,513.75 × 24,513.75
  4. Step 4: Simplify right side
    18,286.50x = 600,923,939.06
  5. Step 5: Solve for x
    x = 600,923,939.06/18,286.50
  6. Step 6: Final answer
    x = 32,861.62

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.