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Finding the Third Proportional to 33,264 and 73,910.25

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Solution

The third proportional to 33,264 and 73,910.25 is: 164,223.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,264 : 73,910.25 = 73,910.25 : x
  2. Step 2: Convert to fraction form
    33,264/73,910.25 = 73,910.25/x
  3. Step 3: Cross multiply
    33,264x = 73,910.25 × 73,910.25
  4. Step 4: Simplify right side
    33,264x = 5,462,725,055.06
  5. Step 5: Solve for x
    x = 5,462,725,055.06/33,264
  6. Step 6: Final answer
    x = 164,223.34

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.