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Finding the Third Proportional to 19,770.75 and 43,245.56

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Solution

The third proportional to 19,770.75 and 43,245.56 is: 94,593.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,770.75 : 43,245.56 = 43,245.56 : x
  2. Step 2: Convert to fraction form
    19,770.75/43,245.56 = 43,245.56/x
  3. Step 3: Cross multiply
    19,770.75x = 43,245.56 × 43,245.56
  4. Step 4: Simplify right side
    19,770.75x = 1,870,178,675.94
  5. Step 5: Solve for x
    x = 1,870,178,675.94/19,770.75
  6. Step 6: Final answer
    x = 94,593.21

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.