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Finding the Third Proportional to 3,674.81 and 5,520.94

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Solution

The third proportional to 3,674.81 and 5,520.94 is: 8,294.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.81 : 5,520.94 = 5,520.94 : x
  2. Step 2: Convert to fraction form
    3,674.81/5,520.94 = 5,520.94/x
  3. Step 3: Cross multiply
    3,674.81x = 5,520.94 × 5,520.94
  4. Step 4: Simplify right side
    3,674.81x = 30,480,750.88
  5. Step 5: Solve for x
    x = 30,480,750.88/3,674.81
  6. Step 6: Final answer
    x = 8,294.51

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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.