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Finding the Third Proportional to 3,075 and 4,912

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Solution

The third proportional to 3,075 and 4,912 is: 7,846.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075 : 4,912 = 4,912 : x
  2. Step 2: Convert to fraction form
    3,075/4,912 = 4,912/x
  3. Step 3: Cross multiply
    3,075x = 4,912 × 4,912
  4. Step 4: Simplify right side
    3,075x = 24,127,744
  5. Step 5: Solve for x
    x = 24,127,744/3,075
  6. Step 6: Final answer
    x = 7,846.42

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.