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Finding the Third Proportional to 50,823 and 76,611

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Solution

The third proportional to 50,823 and 76,611 is: 115,484.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,823 : 76,611 = 76,611 : x
  2. Step 2: Convert to fraction form
    50,823/76,611 = 76,611/x
  3. Step 3: Cross multiply
    50,823x = 76,611 × 76,611
  4. Step 4: Simplify right side
    50,823x = 5,869,245,321
  5. Step 5: Solve for x
    x = 5,869,245,321/50,823
  6. Step 6: Final answer
    x = 115,484.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.