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Finding the Third Proportional to 33,034 and 71,252

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Solution

The third proportional to 33,034 and 71,252 is: 153,685.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,034 : 71,252 = 71,252 : x
  2. Step 2: Convert to fraction form
    33,034/71,252 = 71,252/x
  3. Step 3: Cross multiply
    33,034x = 71,252 × 71,252
  4. Step 4: Simplify right side
    33,034x = 5,076,847,504
  5. Step 5: Solve for x
    x = 5,076,847,504/33,034
  6. Step 6: Final answer
    x = 153,685.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.