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Finding the Third Proportional to 3,664.41 and 5,675.81

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Solution

The third proportional to 3,664.41 and 5,675.81 is: 8,791.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664.41 : 5,675.81 = 5,675.81 : x
  2. Step 2: Convert to fraction form
    3,664.41/5,675.81 = 5,675.81/x
  3. Step 3: Cross multiply
    3,664.41x = 5,675.81 × 5,675.81
  4. Step 4: Simplify right side
    3,664.41x = 32,214,847.54
  5. Step 5: Solve for x
    x = 32,214,847.54/3,664.41
  6. Step 6: Final answer
    x = 8,791.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.