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Finding the Third Proportional to 19,809 and 42,162

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Solution

The third proportional to 19,809 and 42,162 is: 89,738.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,809 : 42,162 = 42,162 : x
  2. Step 2: Convert to fraction form
    19,809/42,162 = 42,162/x
  3. Step 3: Cross multiply
    19,809x = 42,162 × 42,162
  4. Step 4: Simplify right side
    19,809x = 1,777,634,244
  5. Step 5: Solve for x
    x = 1,777,634,244/19,809
  6. Step 6: Final answer
    x = 89,738.72

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.