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Finding the Third Proportional to 4,311.56 and 5,936.63

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Solution

The third proportional to 4,311.56 and 5,936.63 is: 8,174.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,311.56 : 5,936.63 = 5,936.63 : x
  2. Step 2: Convert to fraction form
    4,311.56/5,936.63 = 5,936.63/x
  3. Step 3: Cross multiply
    4,311.56x = 5,936.63 × 5,936.63
  4. Step 4: Simplify right side
    4,311.56x = 35,243,516.39
  5. Step 5: Solve for x
    x = 35,243,516.39/4,311.56
  6. Step 6: Final answer
    x = 8,174.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.