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Finding the Third Proportional to 2,694.94 and 4,046.06

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Solution

The third proportional to 2,694.94 and 4,046.06 is: 6,074.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,694.94 : 4,046.06 = 4,046.06 : x
  2. Step 2: Convert to fraction form
    2,694.94/4,046.06 = 4,046.06/x
  3. Step 3: Cross multiply
    2,694.94x = 4,046.06 × 4,046.06
  4. Step 4: Simplify right side
    2,694.94x = 16,370,621.75
  5. Step 5: Solve for x
    x = 16,370,621.75/2,694.94
  6. Step 6: Final answer
    x = 6,074.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.