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Finding the Third Proportional to 4,638.83 and 8,175.62

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Solution

The third proportional to 4,638.83 and 8,175.62 is: 14,408.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,638.83 : 8,175.62 = 8,175.62 : x
  2. Step 2: Convert to fraction form
    4,638.83/8,175.62 = 8,175.62/x
  3. Step 3: Cross multiply
    4,638.83x = 8,175.62 × 8,175.62
  4. Step 4: Simplify right side
    4,638.83x = 66,840,780.27
  5. Step 5: Solve for x
    x = 66,840,780.27/4,638.83
  6. Step 6: Final answer
    x = 14,408.97

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.