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Finding the Third Proportional to 33,018 and 68,772

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Solution

The third proportional to 33,018 and 68,772 is: 143,242.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,018 : 68,772 = 68,772 : x
  2. Step 2: Convert to fraction form
    33,018/68,772 = 68,772/x
  3. Step 3: Cross multiply
    33,018x = 68,772 × 68,772
  4. Step 4: Simplify right side
    33,018x = 4,729,587,984
  5. Step 5: Solve for x
    x = 4,729,587,984/33,018
  6. Step 6: Final answer
    x = 143,242.72

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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.