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Finding the Third Proportional to 19,463 and 30,199

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Solution

The third proportional to 19,463 and 30,199 is: 46,857.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,463 : 30,199 = 30,199 : x
  2. Step 2: Convert to fraction form
    19,463/30,199 = 30,199/x
  3. Step 3: Cross multiply
    19,463x = 30,199 × 30,199
  4. Step 4: Simplify right side
    19,463x = 911,979,601
  5. Step 5: Solve for x
    x = 911,979,601/19,463
  6. Step 6: Final answer
    x = 46,857.09

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.