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Finding the Third Proportional to 52,997 and 76,638

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Solution

The third proportional to 52,997 and 76,638 is: 110,824.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,997 : 76,638 = 76,638 : x
  2. Step 2: Convert to fraction form
    52,997/76,638 = 76,638/x
  3. Step 3: Cross multiply
    52,997x = 76,638 × 76,638
  4. Step 4: Simplify right side
    52,997x = 5,873,383,044
  5. Step 5: Solve for x
    x = 5,873,383,044/52,997
  6. Step 6: Final answer
    x = 110,824.82

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.