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Finding the Third Proportional to 15,891 and 34,966

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Solution

The third proportional to 15,891 and 34,966 is: 76,937.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,891 : 34,966 = 34,966 : x
  2. Step 2: Convert to fraction form
    15,891/34,966 = 34,966/x
  3. Step 3: Cross multiply
    15,891x = 34,966 × 34,966
  4. Step 4: Simplify right side
    15,891x = 1,222,621,156
  5. Step 5: Solve for x
    x = 1,222,621,156/15,891
  6. Step 6: Final answer
    x = 76,937.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.