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Finding the Third Proportional to 4,075 and 5,503

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Solution

The third proportional to 4,075 and 5,503 is: 7,431.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,075 : 5,503 = 5,503 : x
  2. Step 2: Convert to fraction form
    4,075/5,503 = 5,503/x
  3. Step 3: Cross multiply
    4,075x = 5,503 × 5,503
  4. Step 4: Simplify right side
    4,075x = 30,283,009
  5. Step 5: Solve for x
    x = 30,283,009/4,075
  6. Step 6: Final answer
    x = 7,431.41

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.