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Finding the Third Proportional to 9,704 and 20,176

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Solution

The third proportional to 9,704 and 20,176 is: 41,948.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704 : 20,176 = 20,176 : x
  2. Step 2: Convert to fraction form
    9,704/20,176 = 20,176/x
  3. Step 3: Cross multiply
    9,704x = 20,176 × 20,176
  4. Step 4: Simplify right side
    9,704x = 407,070,976
  5. Step 5: Solve for x
    x = 407,070,976/9,704
  6. Step 6: Final answer
    x = 41,948.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.