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Finding the Third Proportional to 33,769 and 41,060

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Solution

The third proportional to 33,769 and 41,060 is: 49,925.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,769 : 41,060 = 41,060 : x
  2. Step 2: Convert to fraction form
    33,769/41,060 = 41,060/x
  3. Step 3: Cross multiply
    33,769x = 41,060 × 41,060
  4. Step 4: Simplify right side
    33,769x = 1,685,923,600
  5. Step 5: Solve for x
    x = 1,685,923,600/33,769
  6. Step 6: Final answer
    x = 49,925.19

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.