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Finding the Third Proportional to 33,235 and 72,028

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Solution

The third proportional to 33,235 and 72,028 is: 156,101.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,235 : 72,028 = 72,028 : x
  2. Step 2: Convert to fraction form
    33,235/72,028 = 72,028/x
  3. Step 3: Cross multiply
    33,235x = 72,028 × 72,028
  4. Step 4: Simplify right side
    33,235x = 5,188,032,784
  5. Step 5: Solve for x
    x = 5,188,032,784/33,235
  6. Step 6: Final answer
    x = 156,101.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.