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Finding the Third Proportional to 9,834 and 11,286

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Solution

The third proportional to 9,834 and 11,286 is: 12,952.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,834 : 11,286 = 11,286 : x
  2. Step 2: Convert to fraction form
    9,834/11,286 = 11,286/x
  3. Step 3: Cross multiply
    9,834x = 11,286 × 11,286
  4. Step 4: Simplify right side
    9,834x = 127,373,796
  5. Step 5: Solve for x
    x = 127,373,796/9,834
  6. Step 6: Final answer
    x = 12,952.39

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.