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Finding the Third Proportional to 2,942.25 and 6,476.75

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Solution

The third proportional to 2,942.25 and 6,476.75 is: 14,257.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942.25 : 6,476.75 = 6,476.75 : x
  2. Step 2: Convert to fraction form
    2,942.25/6,476.75 = 6,476.75/x
  3. Step 3: Cross multiply
    2,942.25x = 6,476.75 × 6,476.75
  4. Step 4: Simplify right side
    2,942.25x = 41,948,290.56
  5. Step 5: Solve for x
    x = 41,948,290.56/2,942.25
  6. Step 6: Final answer
    x = 14,257.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.