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Finding the Third Proportional to 14,273.25 and 20,286.75

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Solution

The third proportional to 14,273.25 and 20,286.75 is: 28,833.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,273.25 : 20,286.75 = 20,286.75 : x
  2. Step 2: Convert to fraction form
    14,273.25/20,286.75 = 20,286.75/x
  3. Step 3: Cross multiply
    14,273.25x = 20,286.75 × 20,286.75
  4. Step 4: Simplify right side
    14,273.25x = 411,552,225.56
  5. Step 5: Solve for x
    x = 411,552,225.56/14,273.25
  6. Step 6: Final answer
    x = 28,833.81

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.