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Finding the Third Proportional to 17,910 and 19,734

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Solution

The third proportional to 17,910 and 19,734 is: 21,743.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,910 : 19,734 = 19,734 : x
  2. Step 2: Convert to fraction form
    17,910/19,734 = 19,734/x
  3. Step 3: Cross multiply
    17,910x = 19,734 × 19,734
  4. Step 4: Simplify right side
    17,910x = 389,430,756
  5. Step 5: Solve for x
    x = 389,430,756/17,910
  6. Step 6: Final answer
    x = 21,743.76

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.