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Finding the Third Proportional to 33,075 and 48,226.50

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Solution

The third proportional to 33,075 and 48,226.50 is: 70,318.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,075 : 48,226.50 = 48,226.50 : x
  2. Step 2: Convert to fraction form
    33,075/48,226.50 = 48,226.50/x
  3. Step 3: Cross multiply
    33,075x = 48,226.50 × 48,226.50
  4. Step 4: Simplify right side
    33,075x = 2,325,795,302.25
  5. Step 5: Solve for x
    x = 2,325,795,302.25/33,075
  6. Step 6: Final answer
    x = 70,318.83

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.