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Finding the Third Proportional to 19,843 and 30,749

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Solution

The third proportional to 19,843 and 30,749 is: 47,649.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,843 : 30,749 = 30,749 : x
  2. Step 2: Convert to fraction form
    19,843/30,749 = 30,749/x
  3. Step 3: Cross multiply
    19,843x = 30,749 × 30,749
  4. Step 4: Simplify right side
    19,843x = 945,501,001
  5. Step 5: Solve for x
    x = 945,501,001/19,843
  6. Step 6: Final answer
    x = 47,649.10

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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.