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Finding the Third Proportional to 16,137.75 and 33,166.50

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Solution

The third proportional to 16,137.75 and 33,166.50 is: 68,164.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,137.75 : 33,166.50 = 33,166.50 : x
  2. Step 2: Convert to fraction form
    16,137.75/33,166.50 = 33,166.50/x
  3. Step 3: Cross multiply
    16,137.75x = 33,166.50 × 33,166.50
  4. Step 4: Simplify right side
    16,137.75x = 1,100,016,722.25
  5. Step 5: Solve for x
    x = 1,100,016,722.25/16,137.75
  6. Step 6: Final answer
    x = 68,164.19

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.