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Finding the Third Proportional to 20,834 and 44,116

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Solution

The third proportional to 20,834 and 44,116 is: 93,415.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,834 : 44,116 = 44,116 : x
  2. Step 2: Convert to fraction form
    20,834/44,116 = 44,116/x
  3. Step 3: Cross multiply
    20,834x = 44,116 × 44,116
  4. Step 4: Simplify right side
    20,834x = 1,946,221,456
  5. Step 5: Solve for x
    x = 1,946,221,456/20,834
  6. Step 6: Final answer
    x = 93,415.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.