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Finding the Third Proportional to 45,622 and 67,767

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Solution

The third proportional to 45,622 and 67,767 is: 100,661.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,622 : 67,767 = 67,767 : x
  2. Step 2: Convert to fraction form
    45,622/67,767 = 67,767/x
  3. Step 3: Cross multiply
    45,622x = 67,767 × 67,767
  4. Step 4: Simplify right side
    45,622x = 4,592,366,289
  5. Step 5: Solve for x
    x = 4,592,366,289/45,622
  6. Step 6: Final answer
    x = 100,661.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.