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Finding the Third Proportional to 6,962 and 10,781

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Solution

The third proportional to 6,962 and 10,781 is: 16,694.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,962 : 10,781 = 10,781 : x
  2. Step 2: Convert to fraction form
    6,962/10,781 = 10,781/x
  3. Step 3: Cross multiply
    6,962x = 10,781 × 10,781
  4. Step 4: Simplify right side
    6,962x = 116,229,961
  5. Step 5: Solve for x
    x = 116,229,961/6,962
  6. Step 6: Final answer
    x = 16,694.91

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.