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Finding the Third Proportional to 3,697.81 and 5,548.44

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Solution

The third proportional to 3,697.81 and 5,548.44 is: 8,325.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.81 : 5,548.44 = 5,548.44 : x
  2. Step 2: Convert to fraction form
    3,697.81/5,548.44 = 5,548.44/x
  3. Step 3: Cross multiply
    3,697.81x = 5,548.44 × 5,548.44
  4. Step 4: Simplify right side
    3,697.81x = 30,785,158.69
  5. Step 5: Solve for x
    x = 30,785,158.69/3,697.81
  6. Step 6: Final answer
    x = 8,325.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.