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Finding the Third Proportional to 3,896.02 and 8,458.38

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Solution

The third proportional to 3,896.02 and 8,458.38 is: 18,363.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.02 : 8,458.38 = 8,458.38 : x
  2. Step 2: Convert to fraction form
    3,896.02/8,458.38 = 8,458.38/x
  3. Step 3: Cross multiply
    3,896.02x = 8,458.38 × 8,458.38
  4. Step 4: Simplify right side
    3,896.02x = 71,544,239.80
  5. Step 5: Solve for x
    x = 71,544,239.80/3,896.02
  6. Step 6: Final answer
    x = 18,363.44

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Why These Related Problems?

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