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Finding the Third Proportional to 19,986 and 43,698

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Solution

The third proportional to 19,986 and 43,698 is: 95,542.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,986 : 43,698 = 43,698 : x
  2. Step 2: Convert to fraction form
    19,986/43,698 = 43,698/x
  3. Step 3: Cross multiply
    19,986x = 43,698 × 43,698
  4. Step 4: Simplify right side
    19,986x = 1,909,515,204
  5. Step 5: Solve for x
    x = 1,909,515,204/19,986
  6. Step 6: Final answer
    x = 95,542.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.