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Finding the Third Proportional to 3,414.52 and 6,954.33

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Solution

The third proportional to 3,414.52 and 6,954.33 is: 14,163.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.52 : 6,954.33 = 6,954.33 : x
  2. Step 2: Convert to fraction form
    3,414.52/6,954.33 = 6,954.33/x
  3. Step 3: Cross multiply
    3,414.52x = 6,954.33 × 6,954.33
  4. Step 4: Simplify right side
    3,414.52x = 48,362,679.67
  5. Step 5: Solve for x
    x = 48,362,679.67/3,414.52
  6. Step 6: Final answer
    x = 14,163.85

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.