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Finding the Third Proportional to 18,933.75 and 24,651.84

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Solution

The third proportional to 18,933.75 and 24,651.84 is: 32,096.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,933.75 : 24,651.84 = 24,651.84 : x
  2. Step 2: Convert to fraction form
    18,933.75/24,651.84 = 24,651.84/x
  3. Step 3: Cross multiply
    18,933.75x = 24,651.84 × 24,651.84
  4. Step 4: Simplify right side
    18,933.75x = 607,713,400.27
  5. Step 5: Solve for x
    x = 607,713,400.27/18,933.75
  6. Step 6: Final answer
    x = 32,096.83

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.