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Finding the Third Proportional to 2,553.40 and 5,338.41

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Solution

The third proportional to 2,553.40 and 5,338.41 is: 11,161.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553.40 : 5,338.41 = 5,338.41 : x
  2. Step 2: Convert to fraction form
    2,553.40/5,338.41 = 5,338.41/x
  3. Step 3: Cross multiply
    2,553.40x = 5,338.41 × 5,338.41
  4. Step 4: Simplify right side
    2,553.40x = 28,498,581.29
  5. Step 5: Solve for x
    x = 28,498,581.29/2,553.40
  6. Step 6: Final answer
    x = 11,161.04

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.