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Finding the Third Proportional to 26,296.50 and 60,393

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Solution

The third proportional to 26,296.50 and 60,393 is: 138,699.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,296.50 : 60,393 = 60,393 : x
  2. Step 2: Convert to fraction form
    26,296.50/60,393 = 60,393/x
  3. Step 3: Cross multiply
    26,296.50x = 60,393 × 60,393
  4. Step 4: Simplify right side
    26,296.50x = 3,647,314,449
  5. Step 5: Solve for x
    x = 3,647,314,449/26,296.50
  6. Step 6: Final answer
    x = 138,699.62

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.