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Finding the Third Proportional to 20,170 and 47,105

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Solution

The third proportional to 20,170 and 47,105 is: 110,008.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,170 : 47,105 = 47,105 : x
  2. Step 2: Convert to fraction form
    20,170/47,105 = 47,105/x
  3. Step 3: Cross multiply
    20,170x = 47,105 × 47,105
  4. Step 4: Simplify right side
    20,170x = 2,218,881,025
  5. Step 5: Solve for x
    x = 2,218,881,025/20,170
  6. Step 6: Final answer
    x = 110,008.97

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.