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Finding the Third Proportional to 11,849 and 27,435

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Solution

The third proportional to 11,849 and 27,435 is: 63,522.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,849 : 27,435 = 27,435 : x
  2. Step 2: Convert to fraction form
    11,849/27,435 = 27,435/x
  3. Step 3: Cross multiply
    11,849x = 27,435 × 27,435
  4. Step 4: Simplify right side
    11,849x = 752,679,225
  5. Step 5: Solve for x
    x = 752,679,225/11,849
  6. Step 6: Final answer
    x = 63,522.59

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.