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Finding the Third Proportional to 26,739 and 37,383

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Solution

The third proportional to 26,739 and 37,383 is: 52,264.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,739 : 37,383 = 37,383 : x
  2. Step 2: Convert to fraction form
    26,739/37,383 = 37,383/x
  3. Step 3: Cross multiply
    26,739x = 37,383 × 37,383
  4. Step 4: Simplify right side
    26,739x = 1,397,488,689
  5. Step 5: Solve for x
    x = 1,397,488,689/26,739
  6. Step 6: Final answer
    x = 52,264.06

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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.