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Finding the Third Proportional to 43,765.69 and 68,583.56

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Solution

The third proportional to 43,765.69 and 68,583.56 is: 107,474.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,765.69 : 68,583.56 = 68,583.56 : x
  2. Step 2: Convert to fraction form
    43,765.69/68,583.56 = 68,583.56/x
  3. Step 3: Cross multiply
    43,765.69x = 68,583.56 × 68,583.56
  4. Step 4: Simplify right side
    43,765.69x = 4,703,705,045.19
  5. Step 5: Solve for x
    x = 4,703,705,045.19/43,765.69
  6. Step 6: Final answer
    x = 107,474.72

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.