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Finding the Third Proportional to 34,424 and 48,474

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Solution

The third proportional to 34,424 and 48,474 is: 68,258.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,424 : 48,474 = 48,474 : x
  2. Step 2: Convert to fraction form
    34,424/48,474 = 48,474/x
  3. Step 3: Cross multiply
    34,424x = 48,474 × 48,474
  4. Step 4: Simplify right side
    34,424x = 2,349,728,676
  5. Step 5: Solve for x
    x = 2,349,728,676/34,424
  6. Step 6: Final answer
    x = 68,258.44

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.