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Finding the Third Proportional to 6,306 and 9,075

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Solution

The third proportional to 6,306 and 9,075 is: 13,059.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306 : 9,075 = 9,075 : x
  2. Step 2: Convert to fraction form
    6,306/9,075 = 9,075/x
  3. Step 3: Cross multiply
    6,306x = 9,075 × 9,075
  4. Step 4: Simplify right side
    6,306x = 82,355,625
  5. Step 5: Solve for x
    x = 82,355,625/6,306
  6. Step 6: Final answer
    x = 13,059.88

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.