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Finding the Third Proportional to 18,796 and 40,831

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Solution

The third proportional to 18,796 and 40,831 is: 88,698.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,796 : 40,831 = 40,831 : x
  2. Step 2: Convert to fraction form
    18,796/40,831 = 40,831/x
  3. Step 3: Cross multiply
    18,796x = 40,831 × 40,831
  4. Step 4: Simplify right side
    18,796x = 1,667,170,561
  5. Step 5: Solve for x
    x = 1,667,170,561/18,796
  6. Step 6: Final answer
    x = 88,698.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.