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Finding the Third Proportional to 2,229.71 and 3,338.40

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Solution

The third proportional to 2,229.71 and 3,338.40 is: 4,998.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229.71 : 3,338.40 = 3,338.40 : x
  2. Step 2: Convert to fraction form
    2,229.71/3,338.40 = 3,338.40/x
  3. Step 3: Cross multiply
    2,229.71x = 3,338.40 × 3,338.40
  4. Step 4: Simplify right side
    2,229.71x = 11,144,930.21
  5. Step 5: Solve for x
    x = 11,144,930.21/2,229.71
  6. Step 6: Final answer
    x = 4,998.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.