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Finding the Third Proportional to 49,863 and 74,625

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Solution

The third proportional to 49,863 and 74,625 is: 111,683.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,863 : 74,625 = 74,625 : x
  2. Step 2: Convert to fraction form
    49,863/74,625 = 74,625/x
  3. Step 3: Cross multiply
    49,863x = 74,625 × 74,625
  4. Step 4: Simplify right side
    49,863x = 5,568,890,625
  5. Step 5: Solve for x
    x = 5,568,890,625/49,863
  6. Step 6: Final answer
    x = 111,683.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.