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Finding the Third Proportional to 6,282 and 10,041

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Solution

The third proportional to 6,282 and 10,041 is: 16,049.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,282 : 10,041 = 10,041 : x
  2. Step 2: Convert to fraction form
    6,282/10,041 = 10,041/x
  3. Step 3: Cross multiply
    6,282x = 10,041 × 10,041
  4. Step 4: Simplify right side
    6,282x = 100,821,681
  5. Step 5: Solve for x
    x = 100,821,681/6,282
  6. Step 6: Final answer
    x = 16,049.30

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.