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Finding the Third Proportional to 26,536 and 37,194

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Solution

The third proportional to 26,536 and 37,194 is: 52,132.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,536 : 37,194 = 37,194 : x
  2. Step 2: Convert to fraction form
    26,536/37,194 = 37,194/x
  3. Step 3: Cross multiply
    26,536x = 37,194 × 37,194
  4. Step 4: Simplify right side
    26,536x = 1,383,393,636
  5. Step 5: Solve for x
    x = 1,383,393,636/26,536
  6. Step 6: Final answer
    x = 52,132.71

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.