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Finding the Third Proportional to 9,717 and 14,193

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Solution

The third proportional to 9,717 and 14,193 is: 20,730.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,717 : 14,193 = 14,193 : x
  2. Step 2: Convert to fraction form
    9,717/14,193 = 14,193/x
  3. Step 3: Cross multiply
    9,717x = 14,193 × 14,193
  4. Step 4: Simplify right side
    9,717x = 201,441,249
  5. Step 5: Solve for x
    x = 201,441,249/9,717
  6. Step 6: Final answer
    x = 20,730.81

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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.