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Finding the Third Proportional to 35,749 and 54,392

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Solution

The third proportional to 35,749 and 54,392 is: 82,757.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,749 : 54,392 = 54,392 : x
  2. Step 2: Convert to fraction form
    35,749/54,392 = 54,392/x
  3. Step 3: Cross multiply
    35,749x = 54,392 × 54,392
  4. Step 4: Simplify right side
    35,749x = 2,958,489,664
  5. Step 5: Solve for x
    x = 2,958,489,664/35,749
  6. Step 6: Final answer
    x = 82,757.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.