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Finding the Third Proportional to 34,745.50 and 67,763

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Solution

The third proportional to 34,745.50 and 67,763 is: 132,155.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,745.50 : 67,763 = 67,763 : x
  2. Step 2: Convert to fraction form
    34,745.50/67,763 = 67,763/x
  3. Step 3: Cross multiply
    34,745.50x = 67,763 × 67,763
  4. Step 4: Simplify right side
    34,745.50x = 4,591,824,169
  5. Step 5: Solve for x
    x = 4,591,824,169/34,745.50
  6. Step 6: Final answer
    x = 132,155.94

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.