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Finding the Third Proportional to 1,686.75 and 3,939.47

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Solution

The third proportional to 1,686.75 and 3,939.47 is: 9,200.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.75 : 3,939.47 = 3,939.47 : x
  2. Step 2: Convert to fraction form
    1,686.75/3,939.47 = 3,939.47/x
  3. Step 3: Cross multiply
    1,686.75x = 3,939.47 × 3,939.47
  4. Step 4: Simplify right side
    1,686.75x = 15,519,414.03
  5. Step 5: Solve for x
    x = 15,519,414.03/1,686.75
  6. Step 6: Final answer
    x = 9,200.78

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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.