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Finding the Third Proportional to 49,326 and 73,698

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Solution

The third proportional to 49,326 and 73,698 is: 110,112.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,326 : 73,698 = 73,698 : x
  2. Step 2: Convert to fraction form
    49,326/73,698 = 73,698/x
  3. Step 3: Cross multiply
    49,326x = 73,698 × 73,698
  4. Step 4: Simplify right side
    49,326x = 5,431,395,204
  5. Step 5: Solve for x
    x = 5,431,395,204/49,326
  6. Step 6: Final answer
    x = 110,112.22

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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.