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Finding the Third Proportional to 19,040 and 40,192

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Solution

The third proportional to 19,040 and 40,192 is: 84,842.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,040 : 40,192 = 40,192 : x
  2. Step 2: Convert to fraction form
    19,040/40,192 = 40,192/x
  3. Step 3: Cross multiply
    19,040x = 40,192 × 40,192
  4. Step 4: Simplify right side
    19,040x = 1,615,396,864
  5. Step 5: Solve for x
    x = 1,615,396,864/19,040
  6. Step 6: Final answer
    x = 84,842.27

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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.