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Finding the Third Proportional to 9,827 and 20,221

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Solution

The third proportional to 9,827 and 20,221 is: 41,608.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,827 : 20,221 = 20,221 : x
  2. Step 2: Convert to fraction form
    9,827/20,221 = 20,221/x
  3. Step 3: Cross multiply
    9,827x = 20,221 × 20,221
  4. Step 4: Simplify right side
    9,827x = 408,888,841
  5. Step 5: Solve for x
    x = 408,888,841/9,827
  6. Step 6: Final answer
    x = 41,608.71

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1.5x scale

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.