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Finding the Third Proportional to 2,227.78 and 4,804.03

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Solution

The third proportional to 2,227.78 and 4,804.03 is: 10,359.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,227.78 : 4,804.03 = 4,804.03 : x
  2. Step 2: Convert to fraction form
    2,227.78/4,804.03 = 4,804.03/x
  3. Step 3: Cross multiply
    2,227.78x = 4,804.03 × 4,804.03
  4. Step 4: Simplify right side
    2,227.78x = 23,078,716.25
  5. Step 5: Solve for x
    x = 23,078,716.25/2,227.78
  6. Step 6: Final answer
    x = 10,359.51

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.