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Finding the Third Proportional to 33,564 and 73,176

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Solution

The third proportional to 33,564 and 73,176 is: 159,537.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,564 : 73,176 = 73,176 : x
  2. Step 2: Convert to fraction form
    33,564/73,176 = 73,176/x
  3. Step 3: Cross multiply
    33,564x = 73,176 × 73,176
  4. Step 4: Simplify right side
    33,564x = 5,354,726,976
  5. Step 5: Solve for x
    x = 5,354,726,976/33,564
  6. Step 6: Final answer
    x = 159,537.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.