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Finding the Third Proportional to 36,753.75 and 80,512.88

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Solution

The third proportional to 36,753.75 and 80,512.88 is: 176,371.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,753.75 : 80,512.88 = 80,512.88 : x
  2. Step 2: Convert to fraction form
    36,753.75/80,512.88 = 80,512.88/x
  3. Step 3: Cross multiply
    36,753.75x = 80,512.88 × 80,512.88
  4. Step 4: Simplify right side
    36,753.75x = 6,482,323,040.77
  5. Step 5: Solve for x
    x = 6,482,323,040.77/36,753.75
  6. Step 6: Final answer
    x = 176,371.75

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.