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Finding the Third Proportional to 21,774 and 44,151

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Solution

The third proportional to 21,774 and 44,151 is: 89,524.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,774 : 44,151 = 44,151 : x
  2. Step 2: Convert to fraction form
    21,774/44,151 = 44,151/x
  3. Step 3: Cross multiply
    21,774x = 44,151 × 44,151
  4. Step 4: Simplify right side
    21,774x = 1,949,310,801
  5. Step 5: Solve for x
    x = 1,949,310,801/21,774
  6. Step 6: Final answer
    x = 89,524.70

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.