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Finding the Third Proportional to 2,728.69 and 4,735.97

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Solution

The third proportional to 2,728.69 and 4,735.97 is: 8,219.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728.69 : 4,735.97 = 4,735.97 : x
  2. Step 2: Convert to fraction form
    2,728.69/4,735.97 = 4,735.97/x
  3. Step 3: Cross multiply
    2,728.69x = 4,735.97 × 4,735.97
  4. Step 4: Simplify right side
    2,728.69x = 22,429,400.00
  5. Step 5: Solve for x
    x = 22,429,400.00/2,728.69
  6. Step 6: Final answer
    x = 8,219.85

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.