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Finding the Third Proportional to 34,612 and 53,474

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Solution

The third proportional to 34,612 and 53,474 is: 82,614.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,612 : 53,474 = 53,474 : x
  2. Step 2: Convert to fraction form
    34,612/53,474 = 53,474/x
  3. Step 3: Cross multiply
    34,612x = 53,474 × 53,474
  4. Step 4: Simplify right side
    34,612x = 2,859,468,676
  5. Step 5: Solve for x
    x = 2,859,468,676/34,612
  6. Step 6: Final answer
    x = 82,614.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.