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Finding the Third Proportional to 5,140.55 and 11,161.97

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Solution

The third proportional to 5,140.55 and 11,161.97 is: 24,236.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,140.55 : 11,161.97 = 11,161.97 : x
  2. Step 2: Convert to fraction form
    5,140.55/11,161.97 = 11,161.97/x
  3. Step 3: Cross multiply
    5,140.55x = 11,161.97 × 11,161.97
  4. Step 4: Simplify right side
    5,140.55x = 124,589,546.38
  5. Step 5: Solve for x
    x = 124,589,546.38/5,140.55
  6. Step 6: Final answer
    x = 24,236.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.