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Finding the Third Proportional to 3,467.25 and 7,181.25

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Solution

The third proportional to 3,467.25 and 7,181.25 is: 14,873.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.25 : 7,181.25 = 7,181.25 : x
  2. Step 2: Convert to fraction form
    3,467.25/7,181.25 = 7,181.25/x
  3. Step 3: Cross multiply
    3,467.25x = 7,181.25 × 7,181.25
  4. Step 4: Simplify right side
    3,467.25x = 51,570,351.56
  5. Step 5: Solve for x
    x = 51,570,351.56/3,467.25
  6. Step 6: Final answer
    x = 14,873.56

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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.