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Finding the Third Proportional to 26,343 and 50,256

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Solution

The third proportional to 26,343 and 50,256 is: 95,876.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,343 : 50,256 = 50,256 : x
  2. Step 2: Convert to fraction form
    26,343/50,256 = 50,256/x
  3. Step 3: Cross multiply
    26,343x = 50,256 × 50,256
  4. Step 4: Simplify right side
    26,343x = 2,525,665,536
  5. Step 5: Solve for x
    x = 2,525,665,536/26,343
  6. Step 6: Final answer
    x = 95,876.15

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.