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Finding the Third Proportional to 4,175.72 and 8,229.94

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Solution

The third proportional to 4,175.72 and 8,229.94 is: 16,220.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,175.72 : 8,229.94 = 8,229.94 : x
  2. Step 2: Convert to fraction form
    4,175.72/8,229.94 = 8,229.94/x
  3. Step 3: Cross multiply
    4,175.72x = 8,229.94 × 8,229.94
  4. Step 4: Simplify right side
    4,175.72x = 67,731,871.25
  5. Step 5: Solve for x
    x = 67,731,871.25/4,175.72
  6. Step 6: Final answer
    x = 16,220.41

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Why These Related Problems?

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