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Finding the Third Proportional to 20,546 and 44,205

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Solution

The third proportional to 20,546 and 44,205 is: 95,107.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,546 : 44,205 = 44,205 : x
  2. Step 2: Convert to fraction form
    20,546/44,205 = 44,205/x
  3. Step 3: Cross multiply
    20,546x = 44,205 × 44,205
  4. Step 4: Simplify right side
    20,546x = 1,954,082,025
  5. Step 5: Solve for x
    x = 1,954,082,025/20,546
  6. Step 6: Final answer
    x = 95,107.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.