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Finding the Third Proportional to 8,241.75 and 10,978.03

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Solution

The third proportional to 8,241.75 and 10,978.03 is: 14,622.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,241.75 : 10,978.03 = 10,978.03 : x
  2. Step 2: Convert to fraction form
    8,241.75/10,978.03 = 10,978.03/x
  3. Step 3: Cross multiply
    8,241.75x = 10,978.03 × 10,978.03
  4. Step 4: Simplify right side
    8,241.75x = 120,517,170.13
  5. Step 5: Solve for x
    x = 120,517,170.13/8,241.75
  6. Step 6: Final answer
    x = 14,622.76

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.