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Finding the Third Proportional to 21,836 and 33,821

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Solution

The third proportional to 21,836 and 33,821 is: 52,384.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,836 : 33,821 = 33,821 : x
  2. Step 2: Convert to fraction form
    21,836/33,821 = 33,821/x
  3. Step 3: Cross multiply
    21,836x = 33,821 × 33,821
  4. Step 4: Simplify right side
    21,836x = 1,143,860,041
  5. Step 5: Solve for x
    x = 1,143,860,041/21,836
  6. Step 6: Final answer
    x = 52,384.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.