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Finding the Third Proportional to 55,933 and 73,369.50

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Solution

The third proportional to 55,933 and 73,369.50 is: 96,241.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,933 : 73,369.50 = 73,369.50 : x
  2. Step 2: Convert to fraction form
    55,933/73,369.50 = 73,369.50/x
  3. Step 3: Cross multiply
    55,933x = 73,369.50 × 73,369.50
  4. Step 4: Simplify right side
    55,933x = 5,383,083,530.25
  5. Step 5: Solve for x
    x = 5,383,083,530.25/55,933
  6. Step 6: Final answer
    x = 96,241.64

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.