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Finding the Third Proportional to 9,229 and 10,849

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Solution

The third proportional to 9,229 and 10,849 is: 12,753.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,229 : 10,849 = 10,849 : x
  2. Step 2: Convert to fraction form
    9,229/10,849 = 10,849/x
  3. Step 3: Cross multiply
    9,229x = 10,849 × 10,849
  4. Step 4: Simplify right side
    9,229x = 117,700,801
  5. Step 5: Solve for x
    x = 117,700,801/9,229
  6. Step 6: Final answer
    x = 12,753.36

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.