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Finding the Third Proportional to 31,380 and 44,622

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Solution

The third proportional to 31,380 and 44,622 is: 63,451.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,380 : 44,622 = 44,622 : x
  2. Step 2: Convert to fraction form
    31,380/44,622 = 44,622/x
  3. Step 3: Cross multiply
    31,380x = 44,622 × 44,622
  4. Step 4: Simplify right side
    31,380x = 1,991,122,884
  5. Step 5: Solve for x
    x = 1,991,122,884/31,380
  6. Step 6: Final answer
    x = 63,451.97

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.