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Finding the Third Proportional to 26,006 and 50,714

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Solution

The third proportional to 26,006 and 50,714 is: 98,896.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,006 : 50,714 = 50,714 : x
  2. Step 2: Convert to fraction form
    26,006/50,714 = 50,714/x
  3. Step 3: Cross multiply
    26,006x = 50,714 × 50,714
  4. Step 4: Simplify right side
    26,006x = 2,571,909,796
  5. Step 5: Solve for x
    x = 2,571,909,796/26,006
  6. Step 6: Final answer
    x = 98,896.79

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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.