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Finding the Third Proportional to 33,965 and 74,842

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Solution

The third proportional to 33,965 and 74,842 is: 164,914.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,965 : 74,842 = 74,842 : x
  2. Step 2: Convert to fraction form
    33,965/74,842 = 74,842/x
  3. Step 3: Cross multiply
    33,965x = 74,842 × 74,842
  4. Step 4: Simplify right side
    33,965x = 5,601,324,964
  5. Step 5: Solve for x
    x = 5,601,324,964/33,965
  6. Step 6: Final answer
    x = 164,914.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.