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Finding the Third Proportional to 34,839 and 52,337

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Solution

The third proportional to 34,839 and 52,337 is: 78,623.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,839 : 52,337 = 52,337 : x
  2. Step 2: Convert to fraction form
    34,839/52,337 = 52,337/x
  3. Step 3: Cross multiply
    34,839x = 52,337 × 52,337
  4. Step 4: Simplify right side
    34,839x = 2,739,161,569
  5. Step 5: Solve for x
    x = 2,739,161,569/34,839
  6. Step 6: Final answer
    x = 78,623.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.