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Finding the Third Proportional to 10,976 and 14,906

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Solution

The third proportional to 10,976 and 14,906 is: 20,243.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,976 : 14,906 = 14,906 : x
  2. Step 2: Convert to fraction form
    10,976/14,906 = 14,906/x
  3. Step 3: Cross multiply
    10,976x = 14,906 × 14,906
  4. Step 4: Simplify right side
    10,976x = 222,188,836
  5. Step 5: Solve for x
    x = 222,188,836/10,976
  6. Step 6: Final answer
    x = 20,243.15

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.