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Finding the Third Proportional to 34,015 and 52,799

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Solution

The third proportional to 34,015 and 52,799 is: 81,956.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,015 : 52,799 = 52,799 : x
  2. Step 2: Convert to fraction form
    34,015/52,799 = 52,799/x
  3. Step 3: Cross multiply
    34,015x = 52,799 × 52,799
  4. Step 4: Simplify right side
    34,015x = 2,787,734,401
  5. Step 5: Solve for x
    x = 2,787,734,401/34,015
  6. Step 6: Final answer
    x = 81,956.03

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.