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Finding the Third Proportional to 18,719 and 41,164

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Solution

The third proportional to 18,719 and 41,164 is: 90,521.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,719 : 41,164 = 41,164 : x
  2. Step 2: Convert to fraction form
    18,719/41,164 = 41,164/x
  3. Step 3: Cross multiply
    18,719x = 41,164 × 41,164
  4. Step 4: Simplify right side
    18,719x = 1,694,474,896
  5. Step 5: Solve for x
    x = 1,694,474,896/18,719
  6. Step 6: Final answer
    x = 90,521.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.