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Finding the Third Proportional to 33,933 and 73,889.50

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Solution

The third proportional to 33,933 and 73,889.50 is: 160,895.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,933 : 73,889.50 = 73,889.50 : x
  2. Step 2: Convert to fraction form
    33,933/73,889.50 = 73,889.50/x
  3. Step 3: Cross multiply
    33,933x = 73,889.50 × 73,889.50
  4. Step 4: Simplify right side
    33,933x = 5,459,658,210.25
  5. Step 5: Solve for x
    x = 5,459,658,210.25/33,933
  6. Step 6: Final answer
    x = 160,895.24

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.