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Finding the Third Proportional to 31,198.50 and 48,372.75

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Solution

The third proportional to 31,198.50 and 48,372.75 is: 75,001.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,198.50 : 48,372.75 = 48,372.75 : x
  2. Step 2: Convert to fraction form
    31,198.50/48,372.75 = 48,372.75/x
  3. Step 3: Cross multiply
    31,198.50x = 48,372.75 × 48,372.75
  4. Step 4: Simplify right side
    31,198.50x = 2,339,922,942.56
  5. Step 5: Solve for x
    x = 2,339,922,942.56/31,198.50
  6. Step 6: Final answer
    x = 75,001.14

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.