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Finding the Third Proportional to 30,770.72 and 66,249.56

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Solution

The third proportional to 30,770.72 and 66,249.56 is: 142,635.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,770.72 : 66,249.56 = 66,249.56 : x
  2. Step 2: Convert to fraction form
    30,770.72/66,249.56 = 66,249.56/x
  3. Step 3: Cross multiply
    30,770.72x = 66,249.56 × 66,249.56
  4. Step 4: Simplify right side
    30,770.72x = 4,389,004,531.44
  5. Step 5: Solve for x
    x = 4,389,004,531.44/30,770.72
  6. Step 6: Final answer
    x = 142,635.75

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.