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Finding the Third Proportional to 33,006.94 and 71,274.66

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Solution

The third proportional to 33,006.94 and 71,274.66 is: 153,909.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,006.94 : 71,274.66 = 71,274.66 : x
  2. Step 2: Convert to fraction form
    33,006.94/71,274.66 = 71,274.66/x
  3. Step 3: Cross multiply
    33,006.94x = 71,274.66 × 71,274.66
  4. Step 4: Simplify right side
    33,006.94x = 5,080,076,623.56
  5. Step 5: Solve for x
    x = 5,080,076,623.56/33,006.94
  6. Step 6: Final answer
    x = 153,909.36

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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.