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Finding the Third Proportional to 2,018.81 and 3,222.56

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Solution

The third proportional to 2,018.81 and 3,222.56 is: 5,144.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018.81 : 3,222.56 = 3,222.56 : x
  2. Step 2: Convert to fraction form
    2,018.81/3,222.56 = 3,222.56/x
  3. Step 3: Cross multiply
    2,018.81x = 3,222.56 × 3,222.56
  4. Step 4: Simplify right side
    2,018.81x = 10,384,909.07
  5. Step 5: Solve for x
    x = 10,384,909.07/2,018.81
  6. Step 6: Final answer
    x = 5,144.07

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.