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Finding the Third Proportional to 16,161 and 33,901.50

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Solution

The third proportional to 16,161 and 33,901.50 is: 71,116.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,161 : 33,901.50 = 33,901.50 : x
  2. Step 2: Convert to fraction form
    16,161/33,901.50 = 33,901.50/x
  3. Step 3: Cross multiply
    16,161x = 33,901.50 × 33,901.50
  4. Step 4: Simplify right side
    16,161x = 1,149,311,702.25
  5. Step 5: Solve for x
    x = 1,149,311,702.25/16,161
  6. Step 6: Final answer
    x = 71,116.37

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.