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Finding the Third Proportional to 43,773.75 and 65,022.75

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Solution

The third proportional to 43,773.75 and 65,022.75 is: 96,586.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,773.75 : 65,022.75 = 65,022.75 : x
  2. Step 2: Convert to fraction form
    43,773.75/65,022.75 = 65,022.75/x
  3. Step 3: Cross multiply
    43,773.75x = 65,022.75 × 65,022.75
  4. Step 4: Simplify right side
    43,773.75x = 4,227,958,017.56
  5. Step 5: Solve for x
    x = 4,227,958,017.56/43,773.75
  6. Step 6: Final answer
    x = 96,586.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.