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Finding the Third Proportional to 16,647 and 35,764.50

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Solution

The third proportional to 16,647 and 35,764.50 is: 76,836.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,647 : 35,764.50 = 35,764.50 : x
  2. Step 2: Convert to fraction form
    16,647/35,764.50 = 35,764.50/x
  3. Step 3: Cross multiply
    16,647x = 35,764.50 × 35,764.50
  4. Step 4: Simplify right side
    16,647x = 1,279,099,460.25
  5. Step 5: Solve for x
    x = 1,279,099,460.25/16,647
  6. Step 6: Final answer
    x = 76,836.63

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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.