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Finding the Third Proportional to 3,658.92 and 8,629.03

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Solution

The third proportional to 3,658.92 and 8,629.03 is: 20,350.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.92 : 8,629.03 = 8,629.03 : x
  2. Step 2: Convert to fraction form
    3,658.92/8,629.03 = 8,629.03/x
  3. Step 3: Cross multiply
    3,658.92x = 8,629.03 × 8,629.03
  4. Step 4: Simplify right side
    3,658.92x = 74,460,180.31
  5. Step 5: Solve for x
    x = 74,460,180.31/3,658.92
  6. Step 6: Final answer
    x = 20,350.31

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.