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Finding the Third Proportional to 19,307 and 41,872

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Solution

The third proportional to 19,307 and 41,872 is: 90,809.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,307 : 41,872 = 41,872 : x
  2. Step 2: Convert to fraction form
    19,307/41,872 = 41,872/x
  3. Step 3: Cross multiply
    19,307x = 41,872 × 41,872
  4. Step 4: Simplify right side
    19,307x = 1,753,264,384
  5. Step 5: Solve for x
    x = 1,753,264,384/19,307
  6. Step 6: Final answer
    x = 90,809.78

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.