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Finding the Third Proportional to 4,076.81 and 8,745.94

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Solution

The third proportional to 4,076.81 and 8,745.94 is: 18,762.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,076.81 : 8,745.94 = 8,745.94 : x
  2. Step 2: Convert to fraction form
    4,076.81/8,745.94 = 8,745.94/x
  3. Step 3: Cross multiply
    4,076.81x = 8,745.94 × 8,745.94
  4. Step 4: Simplify right side
    4,076.81x = 76,491,422.75
  5. Step 5: Solve for x
    x = 76,491,422.75/4,076.81
  6. Step 6: Final answer
    x = 18,762.56

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.