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Finding the Third Proportional to 33,932.50 and 73,886

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Solution

The third proportional to 33,932.50 and 73,886 is: 160,882.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,932.50 : 73,886 = 73,886 : x
  2. Step 2: Convert to fraction form
    33,932.50/73,886 = 73,886/x
  3. Step 3: Cross multiply
    33,932.50x = 73,886 × 73,886
  4. Step 4: Simplify right side
    33,932.50x = 5,459,140,996
  5. Step 5: Solve for x
    x = 5,459,140,996/33,932.50
  6. Step 6: Final answer
    x = 160,882.37

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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.