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Finding the Third Proportional to 3,375.56 and 7,238.81

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Solution

The third proportional to 3,375.56 and 7,238.81 is: 15,523.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,375.56 : 7,238.81 = 7,238.81 : x
  2. Step 2: Convert to fraction form
    3,375.56/7,238.81 = 7,238.81/x
  3. Step 3: Cross multiply
    3,375.56x = 7,238.81 × 7,238.81
  4. Step 4: Simplify right side
    3,375.56x = 52,400,406.41
  5. Step 5: Solve for x
    x = 52,400,406.41/3,375.56
  6. Step 6: Final answer
    x = 15,523.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.