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Finding the Third Proportional to 29,512 and 44,380

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Solution

The third proportional to 29,512 and 44,380 is: 66,738.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,512 : 44,380 = 44,380 : x
  2. Step 2: Convert to fraction form
    29,512/44,380 = 44,380/x
  3. Step 3: Cross multiply
    29,512x = 44,380 × 44,380
  4. Step 4: Simplify right side
    29,512x = 1,969,584,400
  5. Step 5: Solve for x
    x = 1,969,584,400/29,512
  6. Step 6: Final answer
    x = 66,738.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.