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Finding the Third Proportional to 9,829 and 20,225

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Solution

The third proportional to 9,829 and 20,225 is: 41,616.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,829 : 20,225 = 20,225 : x
  2. Step 2: Convert to fraction form
    9,829/20,225 = 20,225/x
  3. Step 3: Cross multiply
    9,829x = 20,225 × 20,225
  4. Step 4: Simplify right side
    9,829x = 409,050,625
  5. Step 5: Solve for x
    x = 409,050,625/9,829
  6. Step 6: Final answer
    x = 41,616.71

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.