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Finding the Third Proportional to 20,104 and 43,910

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Solution

The third proportional to 20,104 and 43,910 is: 95,905.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,104 : 43,910 = 43,910 : x
  2. Step 2: Convert to fraction form
    20,104/43,910 = 43,910/x
  3. Step 3: Cross multiply
    20,104x = 43,910 × 43,910
  4. Step 4: Simplify right side
    20,104x = 1,928,088,100
  5. Step 5: Solve for x
    x = 1,928,088,100/20,104
  6. Step 6: Final answer
    x = 95,905.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.