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Finding the Third Proportional to 24,198 and 52,824

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Solution

The third proportional to 24,198 and 52,824 is: 115,314.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,198 : 52,824 = 52,824 : x
  2. Step 2: Convert to fraction form
    24,198/52,824 = 52,824/x
  3. Step 3: Cross multiply
    24,198x = 52,824 × 52,824
  4. Step 4: Simplify right side
    24,198x = 2,790,374,976
  5. Step 5: Solve for x
    x = 2,790,374,976/24,198
  6. Step 6: Final answer
    x = 115,314.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.