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Finding the Third Proportional to 30,327.75 and 33,729.75

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Solution

The third proportional to 30,327.75 and 33,729.75 is: 37,513.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,327.75 : 33,729.75 = 33,729.75 : x
  2. Step 2: Convert to fraction form
    30,327.75/33,729.75 = 33,729.75/x
  3. Step 3: Cross multiply
    30,327.75x = 33,729.75 × 33,729.75
  4. Step 4: Simplify right side
    30,327.75x = 1,137,696,035.06
  5. Step 5: Solve for x
    x = 1,137,696,035.06/30,327.75
  6. Step 6: Final answer
    x = 37,513.37

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.