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Finding the Third Proportional to 36,901.13 and 80,895.38

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Solution

The third proportional to 36,901.13 and 80,895.38 is: 177,340.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,901.13 : 80,895.38 = 80,895.38 : x
  2. Step 2: Convert to fraction form
    36,901.13/80,895.38 = 80,895.38/x
  3. Step 3: Cross multiply
    36,901.13x = 80,895.38 × 80,895.38
  4. Step 4: Simplify right side
    36,901.13x = 6,544,061,696.39
  5. Step 5: Solve for x
    x = 6,544,061,696.39/36,901.13
  6. Step 6: Final answer
    x = 177,340.44

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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.