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Finding the Third Proportional to 21,906 and 33,406

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Solution

The third proportional to 21,906 and 33,406 is: 50,943.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,906 : 33,406 = 33,406 : x
  2. Step 2: Convert to fraction form
    21,906/33,406 = 33,406/x
  3. Step 3: Cross multiply
    21,906x = 33,406 × 33,406
  4. Step 4: Simplify right side
    21,906x = 1,115,960,836
  5. Step 5: Solve for x
    x = 1,115,960,836/21,906
  6. Step 6: Final answer
    x = 50,943.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.