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Finding the Third Proportional to 26,930 and 37,672

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Solution

The third proportional to 26,930 and 37,672 is: 52,698.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,930 : 37,672 = 37,672 : x
  2. Step 2: Convert to fraction form
    26,930/37,672 = 37,672/x
  3. Step 3: Cross multiply
    26,930x = 37,672 × 37,672
  4. Step 4: Simplify right side
    26,930x = 1,419,179,584
  5. Step 5: Solve for x
    x = 1,419,179,584/26,930
  6. Step 6: Final answer
    x = 52,698.83

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