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Finding the Third Proportional to 19,016 and 40,694

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Solution

The third proportional to 19,016 and 40,694 is: 87,084.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,016 : 40,694 = 40,694 : x
  2. Step 2: Convert to fraction form
    19,016/40,694 = 40,694/x
  3. Step 3: Cross multiply
    19,016x = 40,694 × 40,694
  4. Step 4: Simplify right side
    19,016x = 1,656,001,636
  5. Step 5: Solve for x
    x = 1,656,001,636/19,016
  6. Step 6: Final answer
    x = 87,084.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.