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Finding the Third Proportional to 36,926.25 and 80,620.50

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Solution

The third proportional to 36,926.25 and 80,620.50 is: 176,017.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,926.25 : 80,620.50 = 80,620.50 : x
  2. Step 2: Convert to fraction form
    36,926.25/80,620.50 = 80,620.50/x
  3. Step 3: Cross multiply
    36,926.25x = 80,620.50 × 80,620.50
  4. Step 4: Simplify right side
    36,926.25x = 6,499,665,020.25
  5. Step 5: Solve for x
    x = 6,499,665,020.25/36,926.25
  6. Step 6: Final answer
    x = 176,017.47

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.