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Finding the Third Proportional to 33,424 and 71,296

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Solution

The third proportional to 33,424 and 71,296 is: 152,079.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,424 : 71,296 = 71,296 : x
  2. Step 2: Convert to fraction form
    33,424/71,296 = 71,296/x
  3. Step 3: Cross multiply
    33,424x = 71,296 × 71,296
  4. Step 4: Simplify right side
    33,424x = 5,083,119,616
  5. Step 5: Solve for x
    x = 5,083,119,616/33,424
  6. Step 6: Final answer
    x = 152,079.93

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.