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Finding the Third Proportional to 19,984 and 43,694

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Solution

The third proportional to 19,984 and 43,694 is: 95,534.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,984 : 43,694 = 43,694 : x
  2. Step 2: Convert to fraction form
    19,984/43,694 = 43,694/x
  3. Step 3: Cross multiply
    19,984x = 43,694 × 43,694
  4. Step 4: Simplify right side
    19,984x = 1,909,165,636
  5. Step 5: Solve for x
    x = 1,909,165,636/19,984
  6. Step 6: Final answer
    x = 95,534.71

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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.