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Finding the Third Proportional to 21,067 and 46,093

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Solution

The third proportional to 21,067 and 46,093 is: 100,847.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,067 : 46,093 = 46,093 : x
  2. Step 2: Convert to fraction form
    21,067/46,093 = 46,093/x
  3. Step 3: Cross multiply
    21,067x = 46,093 × 46,093
  4. Step 4: Simplify right side
    21,067x = 2,124,564,649
  5. Step 5: Solve for x
    x = 2,124,564,649/21,067
  6. Step 6: Final answer
    x = 100,847.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.