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Finding the Third Proportional to 11,976 and 25,192.22

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Solution

The third proportional to 11,976 and 25,192.22 is: 52,993.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,976 : 25,192.22 = 25,192.22 : x
  2. Step 2: Convert to fraction form
    11,976/25,192.22 = 25,192.22/x
  3. Step 3: Cross multiply
    11,976x = 25,192.22 × 25,192.22
  4. Step 4: Simplify right side
    11,976x = 634,647,885.55
  5. Step 5: Solve for x
    x = 634,647,885.55/11,976
  6. Step 6: Final answer
    x = 52,993.31

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.