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Finding the Third Proportional to 1,994.78 and 3,019.94

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Solution

The third proportional to 1,994.78 and 3,019.94 is: 4,571.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,994.78 : 3,019.94 = 3,019.94 : x
  2. Step 2: Convert to fraction form
    1,994.78/3,019.94 = 3,019.94/x
  3. Step 3: Cross multiply
    1,994.78x = 3,019.94 × 3,019.94
  4. Step 4: Simplify right side
    1,994.78x = 9,120,034.30
  5. Step 5: Solve for x
    x = 9,120,034.30/1,994.78
  6. Step 6: Final answer
    x = 4,571.94

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.