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Finding the Third Proportional to 3,893.46 and 8,296.65

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Solution

The third proportional to 3,893.46 and 8,296.65 is: 17,679.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.46 : 8,296.65 = 8,296.65 : x
  2. Step 2: Convert to fraction form
    3,893.46/8,296.65 = 8,296.65/x
  3. Step 3: Cross multiply
    3,893.46x = 8,296.65 × 8,296.65
  4. Step 4: Simplify right side
    3,893.46x = 68,834,342.89
  5. Step 5: Solve for x
    x = 68,834,342.89/3,893.46
  6. Step 6: Final answer
    x = 17,679.49

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.