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Finding the Third Proportional to 26,679 and 61,756

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Solution

The third proportional to 26,679 and 61,756 is: 142,951.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,679 : 61,756 = 61,756 : x
  2. Step 2: Convert to fraction form
    26,679/61,756 = 61,756/x
  3. Step 3: Cross multiply
    26,679x = 61,756 × 61,756
  4. Step 4: Simplify right side
    26,679x = 3,813,803,536
  5. Step 5: Solve for x
    x = 3,813,803,536/26,679
  6. Step 6: Final answer
    x = 142,951.52

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.