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Finding the Third Proportional to 19,792 and 41,504

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Solution

The third proportional to 19,792 and 41,504 is: 87,034.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,792 : 41,504 = 41,504 : x
  2. Step 2: Convert to fraction form
    19,792/41,504 = 41,504/x
  3. Step 3: Cross multiply
    19,792x = 41,504 × 41,504
  4. Step 4: Simplify right side
    19,792x = 1,722,582,016
  5. Step 5: Solve for x
    x = 1,722,582,016/19,792
  6. Step 6: Final answer
    x = 87,034.26

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.