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Finding the Third Proportional to 3,673.27 and 5,544.07

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Solution

The third proportional to 3,673.27 and 5,544.07 is: 8,367.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,673.27 : 5,544.07 = 5,544.07 : x
  2. Step 2: Convert to fraction form
    3,673.27/5,544.07 = 5,544.07/x
  3. Step 3: Cross multiply
    3,673.27x = 5,544.07 × 5,544.07
  4. Step 4: Simplify right side
    3,673.27x = 30,736,715.63
  5. Step 5: Solve for x
    x = 30,736,715.63/3,673.27
  6. Step 6: Final answer
    x = 8,367.68

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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.