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Finding the Third Proportional to 5,361 and 8,075.25

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Solution

The third proportional to 5,361 and 8,075.25 is: 12,163.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,361 : 8,075.25 = 8,075.25 : x
  2. Step 2: Convert to fraction form
    5,361/8,075.25 = 8,075.25/x
  3. Step 3: Cross multiply
    5,361x = 8,075.25 × 8,075.25
  4. Step 4: Simplify right side
    5,361x = 65,209,662.56
  5. Step 5: Solve for x
    x = 65,209,662.56/5,361
  6. Step 6: Final answer
    x = 12,163.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.