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Finding the Third Proportional to 18,041 and 41,765.75

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Solution

The third proportional to 18,041 and 41,765.75 is: 96,689.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,041 : 41,765.75 = 41,765.75 : x
  2. Step 2: Convert to fraction form
    18,041/41,765.75 = 41,765.75/x
  3. Step 3: Cross multiply
    18,041x = 41,765.75 × 41,765.75
  4. Step 4: Simplify right side
    18,041x = 1,744,377,873.06
  5. Step 5: Solve for x
    x = 1,744,377,873.06/18,041
  6. Step 6: Final answer
    x = 96,689.64

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.