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Finding the Third Proportional to 2,443.03 and 3,785.22

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Solution

The third proportional to 2,443.03 and 3,785.22 is: 5,864.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443.03 : 3,785.22 = 3,785.22 : x
  2. Step 2: Convert to fraction form
    2,443.03/3,785.22 = 3,785.22/x
  3. Step 3: Cross multiply
    2,443.03x = 3,785.22 × 3,785.22
  4. Step 4: Simplify right side
    2,443.03x = 14,327,880.99
  5. Step 5: Solve for x
    x = 14,327,880.99/2,443.03
  6. Step 6: Final answer
    x = 5,864.80

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.