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Finding the Third Proportional to 8,198 and 12,307

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Solution

The third proportional to 8,198 and 12,307 is: 18,475.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198 : 12,307 = 12,307 : x
  2. Step 2: Convert to fraction form
    8,198/12,307 = 12,307/x
  3. Step 3: Cross multiply
    8,198x = 12,307 × 12,307
  4. Step 4: Simplify right side
    8,198x = 151,462,249
  5. Step 5: Solve for x
    x = 151,462,249/8,198
  6. Step 6: Final answer
    x = 18,475.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.