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Finding the Third Proportional to 18,797 and 40,096

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Solution

The third proportional to 18,797 and 40,096 is: 85,529.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,797 : 40,096 = 40,096 : x
  2. Step 2: Convert to fraction form
    18,797/40,096 = 40,096/x
  3. Step 3: Cross multiply
    18,797x = 40,096 × 40,096
  4. Step 4: Simplify right side
    18,797x = 1,607,689,216
  5. Step 5: Solve for x
    x = 1,607,689,216/18,797
  6. Step 6: Final answer
    x = 85,529.03

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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.