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Finding the Third Proportional to 10,061 and 11,885

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Solution

The third proportional to 10,061 and 11,885 is: 14,039.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,061 : 11,885 = 11,885 : x
  2. Step 2: Convert to fraction form
    10,061/11,885 = 11,885/x
  3. Step 3: Cross multiply
    10,061x = 11,885 × 11,885
  4. Step 4: Simplify right side
    10,061x = 141,253,225
  5. Step 5: Solve for x
    x = 141,253,225/10,061
  6. Step 6: Final answer
    x = 14,039.68

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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.