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Finding the Third Proportional to 33,559.50 and 47,033.25

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Solution

The third proportional to 33,559.50 and 47,033.25 is: 65,916.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,559.50 : 47,033.25 = 47,033.25 : x
  2. Step 2: Convert to fraction form
    33,559.50/47,033.25 = 47,033.25/x
  3. Step 3: Cross multiply
    33,559.50x = 47,033.25 × 47,033.25
  4. Step 4: Simplify right side
    33,559.50x = 2,212,126,605.56
  5. Step 5: Solve for x
    x = 2,212,126,605.56/33,559.50
  6. Step 6: Final answer
    x = 65,916.55

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.