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Finding the Third Proportional to 19,075 and 41,433.50

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Solution

The third proportional to 19,075 and 41,433.50 is: 89,999.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,075 : 41,433.50 = 41,433.50 : x
  2. Step 2: Convert to fraction form
    19,075/41,433.50 = 41,433.50/x
  3. Step 3: Cross multiply
    19,075x = 41,433.50 × 41,433.50
  4. Step 4: Simplify right side
    19,075x = 1,716,734,922.25
  5. Step 5: Solve for x
    x = 1,716,734,922.25/19,075
  6. Step 6: Final answer
    x = 89,999.21

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.