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Finding the Third Proportional to 33,448 and 71,344

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Solution

The third proportional to 33,448 and 71,344 is: 152,175.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,448 : 71,344 = 71,344 : x
  2. Step 2: Convert to fraction form
    33,448/71,344 = 71,344/x
  3. Step 3: Cross multiply
    33,448x = 71,344 × 71,344
  4. Step 4: Simplify right side
    33,448x = 5,089,966,336
  5. Step 5: Solve for x
    x = 5,089,966,336/33,448
  6. Step 6: Final answer
    x = 152,175.51

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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.