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Finding the Third Proportional to 3,674.19 and 5,544.41

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Solution

The third proportional to 3,674.19 and 5,544.41 is: 8,366.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.19 : 5,544.41 = 5,544.41 : x
  2. Step 2: Convert to fraction form
    3,674.19/5,544.41 = 5,544.41/x
  3. Step 3: Cross multiply
    3,674.19x = 5,544.41 × 5,544.41
  4. Step 4: Simplify right side
    3,674.19x = 30,740,440.67
  5. Step 5: Solve for x
    x = 30,740,440.67/3,674.19
  6. Step 6: Final answer
    x = 8,366.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.