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Finding the Third Proportional to 33,184.69 and 65,488.50

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Solution

The third proportional to 33,184.69 and 65,488.50 is: 129,238.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,184.69 : 65,488.50 = 65,488.50 : x
  2. Step 2: Convert to fraction form
    33,184.69/65,488.50 = 65,488.50/x
  3. Step 3: Cross multiply
    33,184.69x = 65,488.50 × 65,488.50
  4. Step 4: Simplify right side
    33,184.69x = 4,288,743,632.25
  5. Step 5: Solve for x
    x = 4,288,743,632.25/33,184.69
  6. Step 6: Final answer
    x = 129,238.63

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.