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Finding the Third Proportional to 7,851.75 and 17,067

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Solution

The third proportional to 7,851.75 and 17,067 is: 37,097.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851.75 : 17,067 = 17,067 : x
  2. Step 2: Convert to fraction form
    7,851.75/17,067 = 17,067/x
  3. Step 3: Cross multiply
    7,851.75x = 17,067 × 17,067
  4. Step 4: Simplify right side
    7,851.75x = 291,282,489
  5. Step 5: Solve for x
    x = 291,282,489/7,851.75
  6. Step 6: Final answer
    x = 37,097.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.