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Finding the Third Proportional to 41,761 and 64,635

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Solution

The third proportional to 41,761 and 64,635 is: 100,037.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,761 : 64,635 = 64,635 : x
  2. Step 2: Convert to fraction form
    41,761/64,635 = 64,635/x
  3. Step 3: Cross multiply
    41,761x = 64,635 × 64,635
  4. Step 4: Simplify right side
    41,761x = 4,177,683,225
  5. Step 5: Solve for x
    x = 4,177,683,225/41,761
  6. Step 6: Final answer
    x = 100,037.91

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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.