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Finding the Third Proportional to 35,969.63 and 73,367.25

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Solution

The third proportional to 35,969.63 and 73,367.25 is: 149,647.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,969.63 : 73,367.25 = 73,367.25 : x
  2. Step 2: Convert to fraction form
    35,969.63/73,367.25 = 73,367.25/x
  3. Step 3: Cross multiply
    35,969.63x = 73,367.25 × 73,367.25
  4. Step 4: Simplify right side
    35,969.63x = 5,382,753,372.56
  5. Step 5: Solve for x
    x = 5,382,753,372.56/35,969.63
  6. Step 6: Final answer
    x = 149,647.19

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.