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Finding the Third Proportional to 21,883 and 44,689

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Solution

The third proportional to 21,883 and 44,689 is: 91,262.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,883 : 44,689 = 44,689 : x
  2. Step 2: Convert to fraction form
    21,883/44,689 = 44,689/x
  3. Step 3: Cross multiply
    21,883x = 44,689 × 44,689
  4. Step 4: Simplify right side
    21,883x = 1,997,106,721
  5. Step 5: Solve for x
    x = 1,997,106,721/21,883
  6. Step 6: Final answer
    x = 91,262.93

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.