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Finding the Third Proportional to 3,494.25 and 5,172.75

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Solution

The third proportional to 3,494.25 and 5,172.75 is: 7,657.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.25 : 5,172.75 = 5,172.75 : x
  2. Step 2: Convert to fraction form
    3,494.25/5,172.75 = 5,172.75/x
  3. Step 3: Cross multiply
    3,494.25x = 5,172.75 × 5,172.75
  4. Step 4: Simplify right side
    3,494.25x = 26,757,342.56
  5. Step 5: Solve for x
    x = 26,757,342.56/3,494.25
  6. Step 6: Final answer
    x = 7,657.54

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.