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Finding the Third Proportional to 36,217.69 and 78,464.81

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Solution

The third proportional to 36,217.69 and 78,464.81 is: 169,992.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,217.69 : 78,464.81 = 78,464.81 : x
  2. Step 2: Convert to fraction form
    36,217.69/78,464.81 = 78,464.81/x
  3. Step 3: Cross multiply
    36,217.69x = 78,464.81 × 78,464.81
  4. Step 4: Simplify right side
    36,217.69x = 6,156,726,800.66
  5. Step 5: Solve for x
    x = 6,156,726,800.66/36,217.69
  6. Step 6: Final answer
    x = 169,992.27

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.