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Finding the Third Proportional to 19,170 and 44,811

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Solution

The third proportional to 19,170 and 44,811 is: 104,748.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,170 : 44,811 = 44,811 : x
  2. Step 2: Convert to fraction form
    19,170/44,811 = 44,811/x
  3. Step 3: Cross multiply
    19,170x = 44,811 × 44,811
  4. Step 4: Simplify right side
    19,170x = 2,008,025,721
  5. Step 5: Solve for x
    x = 2,008,025,721/19,170
  6. Step 6: Final answer
    x = 104,748.34

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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.