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Finding the Third Proportional to 10,976 and 22,912

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Solution

The third proportional to 10,976 and 22,912 is: 47,827.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,976 : 22,912 = 22,912 : x
  2. Step 2: Convert to fraction form
    10,976/22,912 = 22,912/x
  3. Step 3: Cross multiply
    10,976x = 22,912 × 22,912
  4. Step 4: Simplify right side
    10,976x = 524,959,744
  5. Step 5: Solve for x
    x = 524,959,744/10,976
  6. Step 6: Final answer
    x = 47,827.97

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.