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Finding the Third Proportional to 26,696 and 62,366

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Solution

The third proportional to 26,696 and 62,366 is: 145,696.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,696 : 62,366 = 62,366 : x
  2. Step 2: Convert to fraction form
    26,696/62,366 = 62,366/x
  3. Step 3: Cross multiply
    26,696x = 62,366 × 62,366
  4. Step 4: Simplify right side
    26,696x = 3,889,517,956
  5. Step 5: Solve for x
    x = 3,889,517,956/26,696
  6. Step 6: Final answer
    x = 145,696.66

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.