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Finding the Third Proportional to 2,229.71 and 3,318.94

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Solution

The third proportional to 2,229.71 and 3,318.94 is: 4,940.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229.71 : 3,318.94 = 3,318.94 : x
  2. Step 2: Convert to fraction form
    2,229.71/3,318.94 = 3,318.94/x
  3. Step 3: Cross multiply
    2,229.71x = 3,318.94 × 3,318.94
  4. Step 4: Simplify right side
    2,229.71x = 11,015,385.02
  5. Step 5: Solve for x
    x = 11,015,385.02/2,229.71
  6. Step 6: Final answer
    x = 4,940.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.