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Finding the Third Proportional to 3,075 and 3,619

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Solution

The third proportional to 3,075 and 3,619 is: 4,259.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075 : 3,619 = 3,619 : x
  2. Step 2: Convert to fraction form
    3,075/3,619 = 3,619/x
  3. Step 3: Cross multiply
    3,075x = 3,619 × 3,619
  4. Step 4: Simplify right side
    3,075x = 13,097,161
  5. Step 5: Solve for x
    x = 13,097,161/3,075
  6. Step 6: Final answer
    x = 4,259.24

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.