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Finding the Third Proportional to 34,494 and 52,731

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Solution

The third proportional to 34,494 and 52,731 is: 80,609.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,494 : 52,731 = 52,731 : x
  2. Step 2: Convert to fraction form
    34,494/52,731 = 52,731/x
  3. Step 3: Cross multiply
    34,494x = 52,731 × 52,731
  4. Step 4: Simplify right side
    34,494x = 2,780,558,361
  5. Step 5: Solve for x
    x = 2,780,558,361/34,494
  6. Step 6: Final answer
    x = 80,609.91

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.