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Finding the Third Proportional to 34,500 and 52,756

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Solution

The third proportional to 34,500 and 52,756 is: 80,672.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,500 : 52,756 = 52,756 : x
  2. Step 2: Convert to fraction form
    34,500/52,756 = 52,756/x
  3. Step 3: Cross multiply
    34,500x = 52,756 × 52,756
  4. Step 4: Simplify right side
    34,500x = 2,783,195,536
  5. Step 5: Solve for x
    x = 2,783,195,536/34,500
  6. Step 6: Final answer
    x = 80,672.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.