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Finding the Third Proportional to 33,075 and 67,905

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Solution

The third proportional to 33,075 and 67,905 is: 139,413.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,075 : 67,905 = 67,905 : x
  2. Step 2: Convert to fraction form
    33,075/67,905 = 67,905/x
  3. Step 3: Cross multiply
    33,075x = 67,905 × 67,905
  4. Step 4: Simplify right side
    33,075x = 4,611,089,025
  5. Step 5: Solve for x
    x = 4,611,089,025/33,075
  6. Step 6: Final answer
    x = 139,413.12

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.