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Finding the Third Proportional to 3,975.75 and 7,837.25

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Solution

The third proportional to 3,975.75 and 7,837.25 is: 15,449.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,975.75 : 7,837.25 = 7,837.25 : x
  2. Step 2: Convert to fraction form
    3,975.75/7,837.25 = 7,837.25/x
  3. Step 3: Cross multiply
    3,975.75x = 7,837.25 × 7,837.25
  4. Step 4: Simplify right side
    3,975.75x = 61,422,487.56
  5. Step 5: Solve for x
    x = 61,422,487.56/3,975.75
  6. Step 6: Final answer
    x = 15,449.28

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.