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Finding the Third Proportional to 2,042.25 and 3,099.75

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Solution

The third proportional to 2,042.25 and 3,099.75 is: 4,704.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.25 : 3,099.75 = 3,099.75 : x
  2. Step 2: Convert to fraction form
    2,042.25/3,099.75 = 3,099.75/x
  3. Step 3: Cross multiply
    2,042.25x = 3,099.75 × 3,099.75
  4. Step 4: Simplify right side
    2,042.25x = 9,608,450.06
  5. Step 5: Solve for x
    x = 9,608,450.06/2,042.25
  6. Step 6: Final answer
    x = 4,704.84

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.