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Finding the Third Proportional to 2,441.81 and 3,892.22

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Solution

The third proportional to 2,441.81 and 3,892.22 is: 6,204.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441.81 : 3,892.22 = 3,892.22 : x
  2. Step 2: Convert to fraction form
    2,441.81/3,892.22 = 3,892.22/x
  3. Step 3: Cross multiply
    2,441.81x = 3,892.22 × 3,892.22
  4. Step 4: Simplify right side
    2,441.81x = 15,149,366.80
  5. Step 5: Solve for x
    x = 15,149,366.80/2,441.81
  6. Step 6: Final answer
    x = 6,204.15

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.