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Finding the Third Proportional to 1,963.05 and 3,035.71

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Solution

The third proportional to 1,963.05 and 3,035.71 is: 4,694.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,963.05 : 3,035.71 = 3,035.71 : x
  2. Step 2: Convert to fraction form
    1,963.05/3,035.71 = 3,035.71/x
  3. Step 3: Cross multiply
    1,963.05x = 3,035.71 × 3,035.71
  4. Step 4: Simplify right side
    1,963.05x = 9,215,517.18
  5. Step 5: Solve for x
    x = 9,215,517.18/1,963.05
  6. Step 6: Final answer
    x = 4,694.48

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.