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Finding the Third Proportional to 2,120.06 and 3,698.44

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Solution

The third proportional to 2,120.06 and 3,698.44 is: 6,451.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.06 : 3,698.44 = 3,698.44 : x
  2. Step 2: Convert to fraction form
    2,120.06/3,698.44 = 3,698.44/x
  3. Step 3: Cross multiply
    2,120.06x = 3,698.44 × 3,698.44
  4. Step 4: Simplify right side
    2,120.06x = 13,678,439.94
  5. Step 5: Solve for x
    x = 13,678,439.94/2,120.06
  6. Step 6: Final answer
    x = 6,451.90

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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.