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Finding the Third Proportional to 14,013.75 and 20,481.38

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Solution

The third proportional to 14,013.75 and 20,481.38 is: 29,933.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,013.75 : 20,481.38 = 20,481.38 : x
  2. Step 2: Convert to fraction form
    14,013.75/20,481.38 = 20,481.38/x
  3. Step 3: Cross multiply
    14,013.75x = 20,481.38 × 20,481.38
  4. Step 4: Simplify right side
    14,013.75x = 419,486,721.89
  5. Step 5: Solve for x
    x = 419,486,721.89/14,013.75
  6. Step 6: Final answer
    x = 29,933.94

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.