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Finding the Third Proportional to 34,747.50 and 67,767

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Solution

The third proportional to 34,747.50 and 67,767 is: 132,163.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,747.50 : 67,767 = 67,767 : x
  2. Step 2: Convert to fraction form
    34,747.50/67,767 = 67,767/x
  3. Step 3: Cross multiply
    34,747.50x = 67,767 × 67,767
  4. Step 4: Simplify right side
    34,747.50x = 4,592,366,289
  5. Step 5: Solve for x
    x = 4,592,366,289/34,747.50
  6. Step 6: Final answer
    x = 132,163.93

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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.