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Finding the Third Proportional to 3,402.14 and 5,204.46

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Solution

The third proportional to 3,402.14 and 5,204.46 is: 7,961.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.14 : 5,204.46 = 5,204.46 : x
  2. Step 2: Convert to fraction form
    3,402.14/5,204.46 = 5,204.46/x
  3. Step 3: Cross multiply
    3,402.14x = 5,204.46 × 5,204.46
  4. Step 4: Simplify right side
    3,402.14x = 27,086,413.65
  5. Step 5: Solve for x
    x = 27,086,413.65/3,402.14
  6. Step 6: Final answer
    x = 7,961.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.