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Finding the Third Proportional to 18,758 and 41,321

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Solution

The third proportional to 18,758 and 41,321 is: 91,023.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,758 : 41,321 = 41,321 : x
  2. Step 2: Convert to fraction form
    18,758/41,321 = 41,321/x
  3. Step 3: Cross multiply
    18,758x = 41,321 × 41,321
  4. Step 4: Simplify right side
    18,758x = 1,707,425,041
  5. Step 5: Solve for x
    x = 1,707,425,041/18,758
  6. Step 6: Final answer
    x = 91,023.83

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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.