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Finding the Third Proportional to 26,538 and 37,197

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Solution

The third proportional to 26,538 and 37,197 is: 52,137.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,538 : 37,197 = 37,197 : x
  2. Step 2: Convert to fraction form
    26,538/37,197 = 37,197/x
  3. Step 3: Cross multiply
    26,538x = 37,197 × 37,197
  4. Step 4: Simplify right side
    26,538x = 1,383,616,809
  5. Step 5: Solve for x
    x = 1,383,616,809/26,538
  6. Step 6: Final answer
    x = 52,137.19

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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.