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Finding the Third Proportional to 9,493 and 20,207

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Solution

The third proportional to 9,493 and 20,207 is: 43,013.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,493 : 20,207 = 20,207 : x
  2. Step 2: Convert to fraction form
    9,493/20,207 = 20,207/x
  3. Step 3: Cross multiply
    9,493x = 20,207 × 20,207
  4. Step 4: Simplify right side
    9,493x = 408,322,849
  5. Step 5: Solve for x
    x = 408,322,849/9,493
  6. Step 6: Final answer
    x = 43,013.05

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.