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Finding the Third Proportional to 21,886 and 34,401

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Solution

The third proportional to 21,886 and 34,401 is: 54,072.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,886 : 34,401 = 34,401 : x
  2. Step 2: Convert to fraction form
    21,886/34,401 = 34,401/x
  3. Step 3: Cross multiply
    21,886x = 34,401 × 34,401
  4. Step 4: Simplify right side
    21,886x = 1,183,428,801
  5. Step 5: Solve for x
    x = 1,183,428,801/21,886
  6. Step 6: Final answer
    x = 54,072.41

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.