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Finding the Third Proportional to 6,914.25 and 9,786.38

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Solution

The third proportional to 6,914.25 and 9,786.38 is: 13,851.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,914.25 : 9,786.38 = 9,786.38 : x
  2. Step 2: Convert to fraction form
    6,914.25/9,786.38 = 9,786.38/x
  3. Step 3: Cross multiply
    6,914.25x = 9,786.38 × 9,786.38
  4. Step 4: Simplify right side
    6,914.25x = 95,773,135.64
  5. Step 5: Solve for x
    x = 95,773,135.64/6,914.25
  6. Step 6: Final answer
    x = 13,851.56

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.