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Finding the Third Proportional to 19,397 and 41,764

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Solution

The third proportional to 19,397 and 41,764 is: 89,922.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,397 : 41,764 = 41,764 : x
  2. Step 2: Convert to fraction form
    19,397/41,764 = 41,764/x
  3. Step 3: Cross multiply
    19,397x = 41,764 × 41,764
  4. Step 4: Simplify right side
    19,397x = 1,744,231,696
  5. Step 5: Solve for x
    x = 1,744,231,696/19,397
  6. Step 6: Final answer
    x = 89,922.76

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.