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Finding the Third Proportional to 7,921.69 and 16,734.38

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Solution

The third proportional to 7,921.69 and 16,734.38 is: 35,350.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,921.69 : 16,734.38 = 16,734.38 : x
  2. Step 2: Convert to fraction form
    7,921.69/16,734.38 = 16,734.38/x
  3. Step 3: Cross multiply
    7,921.69x = 16,734.38 × 16,734.38
  4. Step 4: Simplify right side
    7,921.69x = 280,039,306.64
  5. Step 5: Solve for x
    x = 280,039,306.64/7,921.69
  6. Step 6: Final answer
    x = 35,350.97

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.