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Finding the Third Proportional to 20,691 and 44,663

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Solution

The third proportional to 20,691 and 44,663 is: 96,408.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,691 : 44,663 = 44,663 : x
  2. Step 2: Convert to fraction form
    20,691/44,663 = 44,663/x
  3. Step 3: Cross multiply
    20,691x = 44,663 × 44,663
  4. Step 4: Simplify right side
    20,691x = 1,994,783,569
  5. Step 5: Solve for x
    x = 1,994,783,569/20,691
  6. Step 6: Final answer
    x = 96,408.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.