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Finding the Third Proportional to 6,648 and 10,436

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Solution

The third proportional to 6,648 and 10,436 is: 16,382.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,648 : 10,436 = 10,436 : x
  2. Step 2: Convert to fraction form
    6,648/10,436 = 10,436/x
  3. Step 3: Cross multiply
    6,648x = 10,436 × 10,436
  4. Step 4: Simplify right side
    6,648x = 108,910,096
  5. Step 5: Solve for x
    x = 108,910,096/6,648
  6. Step 6: Final answer
    x = 16,382.39

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.