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Finding the Third Proportional to 6,832 and 10,900

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Solution

The third proportional to 6,832 and 10,900 is: 17,390.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,832 : 10,900 = 10,900 : x
  2. Step 2: Convert to fraction form
    6,832/10,900 = 10,900/x
  3. Step 3: Cross multiply
    6,832x = 10,900 × 10,900
  4. Step 4: Simplify right side
    6,832x = 118,810,000
  5. Step 5: Solve for x
    x = 118,810,000/6,832
  6. Step 6: Final answer
    x = 17,390.22

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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.