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Finding the Third Proportional to 41,416 and 65,809

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Solution

The third proportional to 41,416 and 65,809 is: 104,568.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,416 : 65,809 = 65,809 : x
  2. Step 2: Convert to fraction form
    41,416/65,809 = 65,809/x
  3. Step 3: Cross multiply
    41,416x = 65,809 × 65,809
  4. Step 4: Simplify right side
    41,416x = 4,330,824,481
  5. Step 5: Solve for x
    x = 4,330,824,481/41,416
  6. Step 6: Final answer
    x = 104,568.87

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.