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Finding the Third Proportional to 36,382 and 51,234

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Solution

The third proportional to 36,382 and 51,234 is: 72,148.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,382 : 51,234 = 51,234 : x
  2. Step 2: Convert to fraction form
    36,382/51,234 = 51,234/x
  3. Step 3: Cross multiply
    36,382x = 51,234 × 51,234
  4. Step 4: Simplify right side
    36,382x = 2,624,922,756
  5. Step 5: Solve for x
    x = 2,624,922,756/36,382
  6. Step 6: Final answer
    x = 72,148.94

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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.