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Finding the Third Proportional to 19,795 and 41,510

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Solution

The third proportional to 19,795 and 41,510 is: 87,046.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,795 : 41,510 = 41,510 : x
  2. Step 2: Convert to fraction form
    19,795/41,510 = 41,510/x
  3. Step 3: Cross multiply
    19,795x = 41,510 × 41,510
  4. Step 4: Simplify right side
    19,795x = 1,723,080,100
  5. Step 5: Solve for x
    x = 1,723,080,100/19,795
  6. Step 6: Final answer
    x = 87,046.23

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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.