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Finding the Third Proportional to 33,493.50 and 45,485.25

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Solution

The third proportional to 33,493.50 and 45,485.25 is: 61,770.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,493.50 : 45,485.25 = 45,485.25 : x
  2. Step 2: Convert to fraction form
    33,493.50/45,485.25 = 45,485.25/x
  3. Step 3: Cross multiply
    33,493.50x = 45,485.25 × 45,485.25
  4. Step 4: Simplify right side
    33,493.50x = 2,068,907,967.56
  5. Step 5: Solve for x
    x = 2,068,907,967.56/33,493.50
  6. Step 6: Final answer
    x = 61,770.43

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.