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Finding the Third Proportional to 6,608 and 10,456

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Solution

The third proportional to 6,608 and 10,456 is: 16,544.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,608 : 10,456 = 10,456 : x
  2. Step 2: Convert to fraction form
    6,608/10,456 = 10,456/x
  3. Step 3: Cross multiply
    6,608x = 10,456 × 10,456
  4. Step 4: Simplify right side
    6,608x = 109,327,936
  5. Step 5: Solve for x
    x = 109,327,936/6,608
  6. Step 6: Final answer
    x = 16,544.78

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.