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Finding the Third Proportional to 33,951 and 44,360

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Solution

The third proportional to 33,951 and 44,360 is: 57,960.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,951 : 44,360 = 44,360 : x
  2. Step 2: Convert to fraction form
    33,951/44,360 = 44,360/x
  3. Step 3: Cross multiply
    33,951x = 44,360 × 44,360
  4. Step 4: Simplify right side
    33,951x = 1,967,809,600
  5. Step 5: Solve for x
    x = 1,967,809,600/33,951
  6. Step 6: Final answer
    x = 57,960.28

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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.