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Finding the Third Proportional to 36,100.69 and 49,465.69

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Solution

The third proportional to 36,100.69 and 49,465.69 is: 67,778.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,100.69 : 49,465.69 = 49,465.69 : x
  2. Step 2: Convert to fraction form
    36,100.69/49,465.69 = 49,465.69/x
  3. Step 3: Cross multiply
    36,100.69x = 49,465.69 × 49,465.69
  4. Step 4: Simplify right side
    36,100.69x = 2,446,854,239.85
  5. Step 5: Solve for x
    x = 2,446,854,239.85/36,100.69
  6. Step 6: Final answer
    x = 67,778.61

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.