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Finding the Third Proportional to 1,895.74 and 3,942.85

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Solution

The third proportional to 1,895.74 and 3,942.85 is: 8,200.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,895.74 : 3,942.85 = 3,942.85 : x
  2. Step 2: Convert to fraction form
    1,895.74/3,942.85 = 3,942.85/x
  3. Step 3: Cross multiply
    1,895.74x = 3,942.85 × 3,942.85
  4. Step 4: Simplify right side
    1,895.74x = 15,546,042.83
  5. Step 5: Solve for x
    x = 15,546,042.83/1,895.74
  6. Step 6: Final answer
    x = 8,200.52

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.