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Finding the Third Proportional to 6,075 and 6,267

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Solution

The third proportional to 6,075 and 6,267 is: 6,465.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,075 : 6,267 = 6,267 : x
  2. Step 2: Convert to fraction form
    6,075/6,267 = 6,267/x
  3. Step 3: Cross multiply
    6,075x = 6,267 × 6,267
  4. Step 4: Simplify right side
    6,075x = 39,275,289
  5. Step 5: Solve for x
    x = 39,275,289/6,075
  6. Step 6: Final answer
    x = 6,465.07

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Why These Related Problems?

These problems maintain the same ratio (1.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.