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Finding the Third Proportional to 36,811.65 and 55,166.22

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Solution

The third proportional to 36,811.65 and 55,166.22 is: 82,672.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,811.65 : 55,166.22 = 55,166.22 : x
  2. Step 2: Convert to fraction form
    36,811.65/55,166.22 = 55,166.22/x
  3. Step 3: Cross multiply
    36,811.65x = 55,166.22 × 55,166.22
  4. Step 4: Simplify right side
    36,811.65x = 3,043,311,906.67
  5. Step 5: Solve for x
    x = 3,043,311,906.67/36,811.65
  6. Step 6: Final answer
    x = 82,672.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.