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Finding the Third Proportional to 33,428.75 and 68,976

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Solution

The third proportional to 33,428.75 and 68,976 is: 142,323.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,428.75 : 68,976 = 68,976 : x
  2. Step 2: Convert to fraction form
    33,428.75/68,976 = 68,976/x
  3. Step 3: Cross multiply
    33,428.75x = 68,976 × 68,976
  4. Step 4: Simplify right side
    33,428.75x = 4,757,688,576
  5. Step 5: Solve for x
    x = 4,757,688,576/33,428.75
  6. Step 6: Final answer
    x = 142,323.26

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.