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Finding the Third Proportional to 19,842 and 30,696

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Solution

The third proportional to 19,842 and 30,696 is: 47,487.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,842 : 30,696 = 30,696 : x
  2. Step 2: Convert to fraction form
    19,842/30,696 = 30,696/x
  3. Step 3: Cross multiply
    19,842x = 30,696 × 30,696
  4. Step 4: Simplify right side
    19,842x = 942,244,416
  5. Step 5: Solve for x
    x = 942,244,416/19,842
  6. Step 6: Final answer
    x = 47,487.37

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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.