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Finding the Third Proportional to 3,886.73 and 7,951.92

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Solution

The third proportional to 3,886.73 and 7,951.92 is: 16,268.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.73 : 7,951.92 = 7,951.92 : x
  2. Step 2: Convert to fraction form
    3,886.73/7,951.92 = 7,951.92/x
  3. Step 3: Cross multiply
    3,886.73x = 7,951.92 × 7,951.92
  4. Step 4: Simplify right side
    3,886.73x = 63,233,061.51
  5. Step 5: Solve for x
    x = 63,233,061.51/3,886.73
  6. Step 6: Final answer
    x = 16,268.94

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.