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Finding the Third Proportional to 3,186.75 and 7,338.38

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Solution

The third proportional to 3,186.75 and 7,338.38 is: 16,898.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.75 : 7,338.38 = 7,338.38 : x
  2. Step 2: Convert to fraction form
    3,186.75/7,338.38 = 7,338.38/x
  3. Step 3: Cross multiply
    3,186.75x = 7,338.38 × 7,338.38
  4. Step 4: Simplify right side
    3,186.75x = 53,851,747.64
  5. Step 5: Solve for x
    x = 53,851,747.64/3,186.75
  6. Step 6: Final answer
    x = 16,898.64

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.