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Finding the Third Proportional to 6,106.97 and 9,175.69

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Solution

The third proportional to 6,106.97 and 9,175.69 is: 13,786.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,106.97 : 9,175.69 = 9,175.69 : x
  2. Step 2: Convert to fraction form
    6,106.97/9,175.69 = 9,175.69/x
  3. Step 3: Cross multiply
    6,106.97x = 9,175.69 × 9,175.69
  4. Step 4: Simplify right side
    6,106.97x = 84,193,241.10
  5. Step 5: Solve for x
    x = 84,193,241.10/6,106.97
  6. Step 6: Final answer
    x = 13,786.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.