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Finding the Third Proportional to 5,494.50 and 10,305.56

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Solution

The third proportional to 5,494.50 and 10,305.56 is: 19,329.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.50 : 10,305.56 = 10,305.56 : x
  2. Step 2: Convert to fraction form
    5,494.50/10,305.56 = 10,305.56/x
  3. Step 3: Cross multiply
    5,494.50x = 10,305.56 × 10,305.56
  4. Step 4: Simplify right side
    5,494.50x = 106,204,618.44
  5. Step 5: Solve for x
    x = 106,204,618.44/5,494.50
  6. Step 6: Final answer
    x = 19,329.26

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.