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Finding the Third Proportional to 33,468 and 72,042

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Solution

The third proportional to 33,468 and 72,042 is: 155,074.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,468 : 72,042 = 72,042 : x
  2. Step 2: Convert to fraction form
    33,468/72,042 = 72,042/x
  3. Step 3: Cross multiply
    33,468x = 72,042 × 72,042
  4. Step 4: Simplify right side
    33,468x = 5,190,049,764
  5. Step 5: Solve for x
    x = 5,190,049,764/33,468
  6. Step 6: Final answer
    x = 155,074.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.