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Finding the Third Proportional to 4,321.69 and 4,706.44

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Solution

The third proportional to 4,321.69 and 4,706.44 is: 5,125.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,321.69 : 4,706.44 = 4,706.44 : x
  2. Step 2: Convert to fraction form
    4,321.69/4,706.44 = 4,706.44/x
  3. Step 3: Cross multiply
    4,321.69x = 4,706.44 × 4,706.44
  4. Step 4: Simplify right side
    4,321.69x = 22,150,553.94
  5. Step 5: Solve for x
    x = 22,150,553.94/4,321.69
  6. Step 6: Final answer
    x = 5,125.44

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.