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Finding the Third Proportional to 3,075 and 5,982

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Solution

The third proportional to 3,075 and 5,982 is: 11,637.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075 : 5,982 = 5,982 : x
  2. Step 2: Convert to fraction form
    3,075/5,982 = 5,982/x
  3. Step 3: Cross multiply
    3,075x = 5,982 × 5,982
  4. Step 4: Simplify right side
    3,075x = 35,784,324
  5. Step 5: Solve for x
    x = 35,784,324/3,075
  6. Step 6: Final answer
    x = 11,637.18

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.