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Finding the Third Proportional to 33,493.50 and 44,455.50

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Solution

The third proportional to 33,493.50 and 44,455.50 is: 59,005.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,493.50 : 44,455.50 = 44,455.50 : x
  2. Step 2: Convert to fraction form
    33,493.50/44,455.50 = 44,455.50/x
  3. Step 3: Cross multiply
    33,493.50x = 44,455.50 × 44,455.50
  4. Step 4: Simplify right side
    33,493.50x = 1,976,291,480.25
  5. Step 5: Solve for x
    x = 1,976,291,480.25/33,493.50
  6. Step 6: Final answer
    x = 59,005.22

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.