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Finding the Third Proportional to 8,076.43 and 17,745.64

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Solution

The third proportional to 8,076.43 and 17,745.64 is: 38,990.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,076.43 : 17,745.64 = 17,745.64 : x
  2. Step 2: Convert to fraction form
    8,076.43/17,745.64 = 17,745.64/x
  3. Step 3: Cross multiply
    8,076.43x = 17,745.64 × 17,745.64
  4. Step 4: Simplify right side
    8,076.43x = 314,907,899.83
  5. Step 5: Solve for x
    x = 314,907,899.83/8,076.43
  6. Step 6: Final answer
    x = 38,990.99

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.