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Finding the Third Proportional to 11,706 and 15,891

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Solution

The third proportional to 11,706 and 15,891 is: 21,572.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706 : 15,891 = 15,891 : x
  2. Step 2: Convert to fraction form
    11,706/15,891 = 15,891/x
  3. Step 3: Cross multiply
    11,706x = 15,891 × 15,891
  4. Step 4: Simplify right side
    11,706x = 252,523,881
  5. Step 5: Solve for x
    x = 252,523,881/11,706
  6. Step 6: Final answer
    x = 21,572.18

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.