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Finding the Third Proportional to 3,912.68 and 5,837.70

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Solution

The third proportional to 3,912.68 and 5,837.70 is: 8,709.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,912.68 : 5,837.70 = 5,837.70 : x
  2. Step 2: Convert to fraction form
    3,912.68/5,837.70 = 5,837.70/x
  3. Step 3: Cross multiply
    3,912.68x = 5,837.70 × 5,837.70
  4. Step 4: Simplify right side
    3,912.68x = 34,078,686.56
  5. Step 5: Solve for x
    x = 34,078,686.56/3,912.68
  6. Step 6: Final answer
    x = 8,709.81

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Why These Related Problems?

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