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Finding the Third Proportional to 26,757 and 39,749

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Solution

The third proportional to 26,757 and 39,749 is: 59,049.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,757 : 39,749 = 39,749 : x
  2. Step 2: Convert to fraction form
    26,757/39,749 = 39,749/x
  3. Step 3: Cross multiply
    26,757x = 39,749 × 39,749
  4. Step 4: Simplify right side
    26,757x = 1,579,983,001
  5. Step 5: Solve for x
    x = 1,579,983,001/26,757
  6. Step 6: Final answer
    x = 59,049.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.