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Finding the Third Proportional to 3,399.19 and 7,166.81

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Solution

The third proportional to 3,399.19 and 7,166.81 is: 15,110.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,399.19 : 7,166.81 = 7,166.81 : x
  2. Step 2: Convert to fraction form
    3,399.19/7,166.81 = 7,166.81/x
  3. Step 3: Cross multiply
    3,399.19x = 7,166.81 × 7,166.81
  4. Step 4: Simplify right side
    3,399.19x = 51,363,201.41
  5. Step 5: Solve for x
    x = 51,363,201.41/3,399.19
  6. Step 6: Final answer
    x = 15,110.43

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.