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Finding the Third Proportional to 33,571.13 and 72,761.63

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Solution

The third proportional to 33,571.13 and 72,761.63 is: 157,702.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,571.13 : 72,761.63 = 72,761.63 : x
  2. Step 2: Convert to fraction form
    33,571.13/72,761.63 = 72,761.63/x
  3. Step 3: Cross multiply
    33,571.13x = 72,761.63 × 72,761.63
  4. Step 4: Simplify right side
    33,571.13x = 5,294,254,072.64
  5. Step 5: Solve for x
    x = 5,294,254,072.64/33,571.13
  6. Step 6: Final answer
    x = 157,702.61

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.