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Finding the Third Proportional to 21,683 and 44,821

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Solution

The third proportional to 21,683 and 44,821 is: 92,649.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,683 : 44,821 = 44,821 : x
  2. Step 2: Convert to fraction form
    21,683/44,821 = 44,821/x
  3. Step 3: Cross multiply
    21,683x = 44,821 × 44,821
  4. Step 4: Simplify right side
    21,683x = 2,008,922,041
  5. Step 5: Solve for x
    x = 2,008,922,041/21,683
  6. Step 6: Final answer
    x = 92,649.64

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.