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Finding the Third Proportional to 33,944 and 73,912

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Solution

The third proportional to 33,944 and 73,912 is: 160,941.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,944 : 73,912 = 73,912 : x
  2. Step 2: Convert to fraction form
    33,944/73,912 = 73,912/x
  3. Step 3: Cross multiply
    33,944x = 73,912 × 73,912
  4. Step 4: Simplify right side
    33,944x = 5,462,983,744
  5. Step 5: Solve for x
    x = 5,462,983,744/33,944
  6. Step 6: Final answer
    x = 160,941.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.