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Finding the Third Proportional to 21,843 and 46,962

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Solution

The third proportional to 21,843 and 46,962 is: 100,967.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,843 : 46,962 = 46,962 : x
  2. Step 2: Convert to fraction form
    21,843/46,962 = 46,962/x
  3. Step 3: Cross multiply
    21,843x = 46,962 × 46,962
  4. Step 4: Simplify right side
    21,843x = 2,205,429,444
  5. Step 5: Solve for x
    x = 2,205,429,444/21,843
  6. Step 6: Final answer
    x = 100,967.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.