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Finding the Third Proportional to 3,949.69 and 5,949.56

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Solution

The third proportional to 3,949.69 and 5,949.56 is: 8,962.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,949.69 : 5,949.56 = 5,949.56 : x
  2. Step 2: Convert to fraction form
    3,949.69/5,949.56 = 5,949.56/x
  3. Step 3: Cross multiply
    3,949.69x = 5,949.56 × 5,949.56
  4. Step 4: Simplify right side
    3,949.69x = 35,397,293.94
  5. Step 5: Solve for x
    x = 35,397,293.94/3,949.69
  6. Step 6: Final answer
    x = 8,962.05

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.