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Finding the Third Proportional to 3,414.62 and 5,273.54

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Solution

The third proportional to 3,414.62 and 5,273.54 is: 8,144.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.62 : 5,273.54 = 5,273.54 : x
  2. Step 2: Convert to fraction form
    3,414.62/5,273.54 = 5,273.54/x
  3. Step 3: Cross multiply
    3,414.62x = 5,273.54 × 5,273.54
  4. Step 4: Simplify right side
    3,414.62x = 27,810,255.44
  5. Step 5: Solve for x
    x = 27,810,255.44/3,414.62
  6. Step 6: Final answer
    x = 8,144.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.