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Finding the Third Proportional to 41,942 and 65,019

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Solution

The third proportional to 41,942 and 65,019 is: 100,793.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,942 : 65,019 = 65,019 : x
  2. Step 2: Convert to fraction form
    41,942/65,019 = 65,019/x
  3. Step 3: Cross multiply
    41,942x = 65,019 × 65,019
  4. Step 4: Simplify right side
    41,942x = 4,227,470,361
  5. Step 5: Solve for x
    x = 4,227,470,361/41,942
  6. Step 6: Final answer
    x = 100,793.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.