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Finding the Third Proportional to 5,168.26 and 11,321.57

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Solution

The third proportional to 5,168.26 and 11,321.57 is: 24,800.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,168.26 : 11,321.57 = 11,321.57 : x
  2. Step 2: Convert to fraction form
    5,168.26/11,321.57 = 11,321.57/x
  3. Step 3: Cross multiply
    5,168.26x = 11,321.57 × 11,321.57
  4. Step 4: Simplify right side
    5,168.26x = 128,177,932.23
  5. Step 5: Solve for x
    x = 128,177,932.23/5,168.26
  6. Step 6: Final answer
    x = 24,800.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.