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Finding the Third Proportional to 33,576 and 69,944

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Solution

The third proportional to 33,576 and 69,944 is: 145,704.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,576 : 69,944 = 69,944 : x
  2. Step 2: Convert to fraction form
    33,576/69,944 = 69,944/x
  3. Step 3: Cross multiply
    33,576x = 69,944 × 69,944
  4. Step 4: Simplify right side
    33,576x = 4,892,163,136
  5. Step 5: Solve for x
    x = 4,892,163,136/33,576
  6. Step 6: Final answer
    x = 145,704.17

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.