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Finding the Third Proportional to 24,181 and 51,075

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Solution

The third proportional to 24,181 and 51,075 is: 107,880.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,181 : 51,075 = 51,075 : x
  2. Step 2: Convert to fraction form
    24,181/51,075 = 51,075/x
  3. Step 3: Cross multiply
    24,181x = 51,075 × 51,075
  4. Step 4: Simplify right side
    24,181x = 2,608,655,625
  5. Step 5: Solve for x
    x = 2,608,655,625/24,181
  6. Step 6: Final answer
    x = 107,880.39

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.