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Finding the Third Proportional to 22,336 and 44,104

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Solution

The third proportional to 22,336 and 44,104 is: 87,086.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,336 : 44,104 = 44,104 : x
  2. Step 2: Convert to fraction form
    22,336/44,104 = 44,104/x
  3. Step 3: Cross multiply
    22,336x = 44,104 × 44,104
  4. Step 4: Simplify right side
    22,336x = 1,945,162,816
  5. Step 5: Solve for x
    x = 1,945,162,816/22,336
  6. Step 6: Final answer
    x = 87,086.44

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.