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Finding the Third Proportional to 43,821 and 68,667.75

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Solution

The third proportional to 43,821 and 68,667.75 is: 107,602.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,821 : 68,667.75 = 68,667.75 : x
  2. Step 2: Convert to fraction form
    43,821/68,667.75 = 68,667.75/x
  3. Step 3: Cross multiply
    43,821x = 68,667.75 × 68,667.75
  4. Step 4: Simplify right side
    43,821x = 4,715,259,890.06
  5. Step 5: Solve for x
    x = 4,715,259,890.06/43,821
  6. Step 6: Final answer
    x = 107,602.75

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.