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Finding the Third Proportional to 3,226.92 and 4,128.89

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Solution

The third proportional to 3,226.92 and 4,128.89 is: 5,282.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,226.92 : 4,128.89 = 4,128.89 : x
  2. Step 2: Convert to fraction form
    3,226.92/4,128.89 = 4,128.89/x
  3. Step 3: Cross multiply
    3,226.92x = 4,128.89 × 4,128.89
  4. Step 4: Simplify right side
    3,226.92x = 17,047,737.79
  5. Step 5: Solve for x
    x = 17,047,737.79/3,226.92
  6. Step 6: Final answer
    x = 5,282.97

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.