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Finding the Third Proportional to 35,971.75 and 73,371.25

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Solution

The third proportional to 35,971.75 and 73,371.25 is: 149,654.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,971.75 : 73,371.25 = 73,371.25 : x
  2. Step 2: Convert to fraction form
    35,971.75/73,371.25 = 73,371.25/x
  3. Step 3: Cross multiply
    35,971.75x = 73,371.25 × 73,371.25
  4. Step 4: Simplify right side
    35,971.75x = 5,383,340,326.56
  5. Step 5: Solve for x
    x = 5,383,340,326.56/35,971.75
  6. Step 6: Final answer
    x = 149,654.67

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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.