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Finding the Third Proportional to 33,823.50 and 48,075

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Solution

The third proportional to 33,823.50 and 48,075 is: 68,331.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,823.50 : 48,075 = 48,075 : x
  2. Step 2: Convert to fraction form
    33,823.50/48,075 = 48,075/x
  3. Step 3: Cross multiply
    33,823.50x = 48,075 × 48,075
  4. Step 4: Simplify right side
    33,823.50x = 2,311,205,625
  5. Step 5: Solve for x
    x = 2,311,205,625/33,823.50
  6. Step 6: Final answer
    x = 68,331.36

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.