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Finding the Third Proportional to 3,994.31 and 9,667.69

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Solution

The third proportional to 3,994.31 and 9,667.69 is: 23,399.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,994.31 : 9,667.69 = 9,667.69 : x
  2. Step 2: Convert to fraction form
    3,994.31/9,667.69 = 9,667.69/x
  3. Step 3: Cross multiply
    3,994.31x = 9,667.69 × 9,667.69
  4. Step 4: Simplify right side
    3,994.31x = 93,464,181.60
  5. Step 5: Solve for x
    x = 93,464,181.60/3,994.31
  6. Step 6: Final answer
    x = 23,399.32

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.