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Finding the Third Proportional to 11,745 and 25,198

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Solution

The third proportional to 11,745 and 25,198 is: 54,060.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,745 : 25,198 = 25,198 : x
  2. Step 2: Convert to fraction form
    11,745/25,198 = 25,198/x
  3. Step 3: Cross multiply
    11,745x = 25,198 × 25,198
  4. Step 4: Simplify right side
    11,745x = 634,939,204
  5. Step 5: Solve for x
    x = 634,939,204/11,745
  6. Step 6: Final answer
    x = 54,060.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.