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Finding the Third Proportional to 33,920 and 51,668

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Solution

The third proportional to 33,920 and 51,668 is: 78,702.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,920 : 51,668 = 51,668 : x
  2. Step 2: Convert to fraction form
    33,920/51,668 = 51,668/x
  3. Step 3: Cross multiply
    33,920x = 51,668 × 51,668
  4. Step 4: Simplify right side
    33,920x = 2,669,582,224
  5. Step 5: Solve for x
    x = 2,669,582,224/33,920
  6. Step 6: Final answer
    x = 78,702.31

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.