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Finding the Third Proportional to 19,019 and 40,162

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Solution

The third proportional to 19,019 and 40,162 is: 84,809.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,019 : 40,162 = 40,162 : x
  2. Step 2: Convert to fraction form
    19,019/40,162 = 40,162/x
  3. Step 3: Cross multiply
    19,019x = 40,162 × 40,162
  4. Step 4: Simplify right side
    19,019x = 1,612,986,244
  5. Step 5: Solve for x
    x = 1,612,986,244/19,019
  6. Step 6: Final answer
    x = 84,809.20

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.