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Finding the Third Proportional to 11,849 and 27,431

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Solution

The third proportional to 11,849 and 27,431 is: 63,504.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,849 : 27,431 = 27,431 : x
  2. Step 2: Convert to fraction form
    11,849/27,431 = 27,431/x
  3. Step 3: Cross multiply
    11,849x = 27,431 × 27,431
  4. Step 4: Simplify right side
    11,849x = 752,459,761
  5. Step 5: Solve for x
    x = 752,459,761/11,849
  6. Step 6: Final answer
    x = 63,504.07

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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.