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Finding the Third Proportional to 8,034 and 12,075

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Solution

The third proportional to 8,034 and 12,075 is: 18,148.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,034 : 12,075 = 12,075 : x
  2. Step 2: Convert to fraction form
    8,034/12,075 = 12,075/x
  3. Step 3: Cross multiply
    8,034x = 12,075 × 12,075
  4. Step 4: Simplify right side
    8,034x = 145,805,625
  5. Step 5: Solve for x
    x = 145,805,625/8,034
  6. Step 6: Final answer
    x = 18,148.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.