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Finding the Third Proportional to 3,075 and 5,844

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Solution

The third proportional to 3,075 and 5,844 is: 11,106.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075 : 5,844 = 5,844 : x
  2. Step 2: Convert to fraction form
    3,075/5,844 = 5,844/x
  3. Step 3: Cross multiply
    3,075x = 5,844 × 5,844
  4. Step 4: Simplify right side
    3,075x = 34,152,336
  5. Step 5: Solve for x
    x = 34,152,336/3,075
  6. Step 6: Final answer
    x = 11,106.45

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.