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Finding the Third Proportional to 16,969.50 and 35,538.75

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Solution

The third proportional to 16,969.50 and 35,538.75 is: 74,427.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,969.50 : 35,538.75 = 35,538.75 : x
  2. Step 2: Convert to fraction form
    16,969.50/35,538.75 = 35,538.75/x
  3. Step 3: Cross multiply
    16,969.50x = 35,538.75 × 35,538.75
  4. Step 4: Simplify right side
    16,969.50x = 1,263,002,751.56
  5. Step 5: Solve for x
    x = 1,263,002,751.56/16,969.50
  6. Step 6: Final answer
    x = 74,427.81

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.