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Finding the Third Proportional to 12,198 and 13,305

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Solution

The third proportional to 12,198 and 13,305 is: 14,512.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,198 : 13,305 = 13,305 : x
  2. Step 2: Convert to fraction form
    12,198/13,305 = 13,305/x
  3. Step 3: Cross multiply
    12,198x = 13,305 × 13,305
  4. Step 4: Simplify right side
    12,198x = 177,023,025
  5. Step 5: Solve for x
    x = 177,023,025/12,198
  6. Step 6: Final answer
    x = 14,512.46

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.