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Finding the Third Proportional to 9,849 and 14,351

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Solution

The third proportional to 9,849 and 14,351 is: 20,910.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,849 : 14,351 = 14,351 : x
  2. Step 2: Convert to fraction form
    9,849/14,351 = 14,351/x
  3. Step 3: Cross multiply
    9,849x = 14,351 × 14,351
  4. Step 4: Simplify right side
    9,849x = 205,951,201
  5. Step 5: Solve for x
    x = 205,951,201/9,849
  6. Step 6: Final answer
    x = 20,910.87

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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.