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Finding the Third Proportional to 20,274 and 44,544

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Solution

The third proportional to 20,274 and 44,544 is: 97,867.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,274 : 44,544 = 44,544 : x
  2. Step 2: Convert to fraction form
    20,274/44,544 = 44,544/x
  3. Step 3: Cross multiply
    20,274x = 44,544 × 44,544
  4. Step 4: Simplify right side
    20,274x = 1,984,167,936
  5. Step 5: Solve for x
    x = 1,984,167,936/20,274
  6. Step 6: Final answer
    x = 97,867.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.