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Finding the Third Proportional to 19,839 and 41,317

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Solution

The third proportional to 19,839 and 41,317 is: 86,047.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,839 : 41,317 = 41,317 : x
  2. Step 2: Convert to fraction form
    19,839/41,317 = 41,317/x
  3. Step 3: Cross multiply
    19,839x = 41,317 × 41,317
  4. Step 4: Simplify right side
    19,839x = 1,707,094,489
  5. Step 5: Solve for x
    x = 1,707,094,489/19,839
  6. Step 6: Final answer
    x = 86,047.41

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.