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Finding the Third Proportional to 9,498 and 22,193

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Solution

The third proportional to 9,498 and 22,193 is: 51,856.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,498 : 22,193 = 22,193 : x
  2. Step 2: Convert to fraction form
    9,498/22,193 = 22,193/x
  3. Step 3: Cross multiply
    9,498x = 22,193 × 22,193
  4. Step 4: Simplify right side
    9,498x = 492,529,249
  5. Step 5: Solve for x
    x = 492,529,249/9,498
  6. Step 6: Final answer
    x = 51,856.10

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.