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Finding the Third Proportional to 10,692 and 21,906

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Solution

The third proportional to 10,692 and 21,906 is: 44,881.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,692 : 21,906 = 21,906 : x
  2. Step 2: Convert to fraction form
    10,692/21,906 = 21,906/x
  3. Step 3: Cross multiply
    10,692x = 21,906 × 21,906
  4. Step 4: Simplify right side
    10,692x = 479,872,836
  5. Step 5: Solve for x
    x = 479,872,836/10,692
  6. Step 6: Final answer
    x = 44,881.48

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.