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Finding the Third Proportional to 36,268.50 and 51,075

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Solution

The third proportional to 36,268.50 and 51,075 is: 71,926.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,268.50 : 51,075 = 51,075 : x
  2. Step 2: Convert to fraction form
    36,268.50/51,075 = 51,075/x
  3. Step 3: Cross multiply
    36,268.50x = 51,075 × 51,075
  4. Step 4: Simplify right side
    36,268.50x = 2,608,655,625
  5. Step 5: Solve for x
    x = 2,608,655,625/36,268.50
  6. Step 6: Final answer
    x = 71,926.21

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.