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Finding the Third Proportional to 36,631.13 and 80,299.13

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Solution

The third proportional to 36,631.13 and 80,299.13 is: 176,023.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,631.13 : 80,299.13 = 80,299.13 : x
  2. Step 2: Convert to fraction form
    36,631.13/80,299.13 = 80,299.13/x
  3. Step 3: Cross multiply
    36,631.13x = 80,299.13 × 80,299.13
  4. Step 4: Simplify right side
    36,631.13x = 6,447,949,475.77
  5. Step 5: Solve for x
    x = 6,447,949,475.77/36,631.13
  6. Step 6: Final answer
    x = 176,023.79

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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.