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Finding the Third Proportional to 26,078 and 50,824

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Solution

The third proportional to 26,078 and 50,824 is: 99,052.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,078 : 50,824 = 50,824 : x
  2. Step 2: Convert to fraction form
    26,078/50,824 = 50,824/x
  3. Step 3: Cross multiply
    26,078x = 50,824 × 50,824
  4. Step 4: Simplify right side
    26,078x = 2,583,078,976
  5. Step 5: Solve for x
    x = 2,583,078,976/26,078
  6. Step 6: Final answer
    x = 99,052.04

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.