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Finding the Third Proportional to 5,520.38 and 10,767.38

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Solution

The third proportional to 5,520.38 and 10,767.38 is: 21,001.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,520.38 : 10,767.38 = 10,767.38 : x
  2. Step 2: Convert to fraction form
    5,520.38/10,767.38 = 10,767.38/x
  3. Step 3: Cross multiply
    5,520.38x = 10,767.38 × 10,767.38
  4. Step 4: Simplify right side
    5,520.38x = 115,936,364.39
  5. Step 5: Solve for x
    x = 115,936,364.39/5,520.38
  6. Step 6: Final answer
    x = 21,001.54

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.