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Finding the Third Proportional to 3,393.14 and 7,155.84

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Solution

The third proportional to 3,393.14 and 7,155.84 is: 15,091.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,393.14 : 7,155.84 = 7,155.84 : x
  2. Step 2: Convert to fraction form
    3,393.14/7,155.84 = 7,155.84/x
  3. Step 3: Cross multiply
    3,393.14x = 7,155.84 × 7,155.84
  4. Step 4: Simplify right side
    3,393.14x = 51,206,099.77
  5. Step 5: Solve for x
    x = 51,206,099.77/3,393.14
  6. Step 6: Final answer
    x = 15,091.06

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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.