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Finding the Third Proportional to 3,478.25 and 7,186.75

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Solution

The third proportional to 3,478.25 and 7,186.75 is: 14,849.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.25 : 7,186.75 = 7,186.75 : x
  2. Step 2: Convert to fraction form
    3,478.25/7,186.75 = 7,186.75/x
  3. Step 3: Cross multiply
    3,478.25x = 7,186.75 × 7,186.75
  4. Step 4: Simplify right side
    3,478.25x = 51,649,375.56
  5. Step 5: Solve for x
    x = 51,649,375.56/3,478.25
  6. Step 6: Final answer
    x = 14,849.24

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.