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Finding the Third Proportional to 2,021.38 and 3,039.56

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Solution

The third proportional to 2,021.38 and 3,039.56 is: 4,570.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.38 : 3,039.56 = 3,039.56 : x
  2. Step 2: Convert to fraction form
    2,021.38/3,039.56 = 3,039.56/x
  3. Step 3: Cross multiply
    2,021.38x = 3,039.56 × 3,039.56
  4. Step 4: Simplify right side
    2,021.38x = 9,238,940.19
  5. Step 5: Solve for x
    x = 9,238,940.19/2,021.38
  6. Step 6: Final answer
    x = 4,570.62

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