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Finding the Third Proportional to 1,687.69 and 3,942.19

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Solution

The third proportional to 1,687.69 and 3,942.19 is: 9,208.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.69 : 3,942.19 = 3,942.19 : x
  2. Step 2: Convert to fraction form
    1,687.69/3,942.19 = 3,942.19/x
  3. Step 3: Cross multiply
    1,687.69x = 3,942.19 × 3,942.19
  4. Step 4: Simplify right side
    1,687.69x = 15,540,842.29
  5. Step 5: Solve for x
    x = 15,540,842.29/1,687.69
  6. Step 6: Final answer
    x = 9,208.36

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.