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Finding the Third Proportional to 34,876 and 50,611

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Solution

The third proportional to 34,876 and 50,611 is: 73,445.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,876 : 50,611 = 50,611 : x
  2. Step 2: Convert to fraction form
    34,876/50,611 = 50,611/x
  3. Step 3: Cross multiply
    34,876x = 50,611 × 50,611
  4. Step 4: Simplify right side
    34,876x = 2,561,473,321
  5. Step 5: Solve for x
    x = 2,561,473,321/34,876
  6. Step 6: Final answer
    x = 73,445.16

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.