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Finding the Third Proportional to 31,773.25 and 62,748.75

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Solution

The third proportional to 31,773.25 and 62,748.75 is: 123,922.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,773.25 : 62,748.75 = 62,748.75 : x
  2. Step 2: Convert to fraction form
    31,773.25/62,748.75 = 62,748.75/x
  3. Step 3: Cross multiply
    31,773.25x = 62,748.75 × 62,748.75
  4. Step 4: Simplify right side
    31,773.25x = 3,937,405,626.56
  5. Step 5: Solve for x
    x = 3,937,405,626.56/31,773.25
  6. Step 6: Final answer
    x = 123,922.03

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.