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Finding the Third Proportional to 21,630 and 33,401

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Solution

The third proportional to 21,630 and 33,401 is: 51,577.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,630 : 33,401 = 33,401 : x
  2. Step 2: Convert to fraction form
    21,630/33,401 = 33,401/x
  3. Step 3: Cross multiply
    21,630x = 33,401 × 33,401
  4. Step 4: Simplify right side
    21,630x = 1,115,626,801
  5. Step 5: Solve for x
    x = 1,115,626,801/21,630
  6. Step 6: Final answer
    x = 51,577.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.