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Finding the Third Proportional to 8,193 and 11,961

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Solution

The third proportional to 8,193 and 11,961 is: 17,461.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,193 : 11,961 = 11,961 : x
  2. Step 2: Convert to fraction form
    8,193/11,961 = 11,961/x
  3. Step 3: Cross multiply
    8,193x = 11,961 × 11,961
  4. Step 4: Simplify right side
    8,193x = 143,065,521
  5. Step 5: Solve for x
    x = 143,065,521/8,193
  6. Step 6: Final answer
    x = 17,461.92

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.