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Finding the Third Proportional to 3,352.69 and 7,794.94

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Solution

The third proportional to 3,352.69 and 7,794.94 is: 18,123.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,352.69 : 7,794.94 = 7,794.94 : x
  2. Step 2: Convert to fraction form
    3,352.69/7,794.94 = 7,794.94/x
  3. Step 3: Cross multiply
    3,352.69x = 7,794.94 × 7,794.94
  4. Step 4: Simplify right side
    3,352.69x = 60,761,050.63
  5. Step 5: Solve for x
    x = 60,761,050.63/3,352.69
  6. Step 6: Final answer
    x = 18,123.09

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.