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Finding the Third Proportional to 33,960 and 44,376

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Solution

The third proportional to 33,960 and 44,376 is: 57,986.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,960 : 44,376 = 44,376 : x
  2. Step 2: Convert to fraction form
    33,960/44,376 = 44,376/x
  3. Step 3: Cross multiply
    33,960x = 44,376 × 44,376
  4. Step 4: Simplify right side
    33,960x = 1,969,229,376
  5. Step 5: Solve for x
    x = 1,969,229,376/33,960
  6. Step 6: Final answer
    x = 57,986.73

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.