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Finding the Third Proportional to 1,765.69 and 4,105.97

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Solution

The third proportional to 1,765.69 and 4,105.97 is: 9,548.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.69 : 4,105.97 = 4,105.97 : x
  2. Step 2: Convert to fraction form
    1,765.69/4,105.97 = 4,105.97/x
  3. Step 3: Cross multiply
    1,765.69x = 4,105.97 × 4,105.97
  4. Step 4: Simplify right side
    1,765.69x = 16,858,979.38
  5. Step 5: Solve for x
    x = 16,858,979.38/1,765.69
  6. Step 6: Final answer
    x = 9,548.11

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.