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Finding the Third Proportional to 19,791 and 30,606

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Solution

The third proportional to 19,791 and 30,606 is: 47,330.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,791 : 30,606 = 30,606 : x
  2. Step 2: Convert to fraction form
    19,791/30,606 = 30,606/x
  3. Step 3: Cross multiply
    19,791x = 30,606 × 30,606
  4. Step 4: Simplify right side
    19,791x = 936,727,236
  5. Step 5: Solve for x
    x = 936,727,236/19,791
  6. Step 6: Final answer
    x = 47,330.97

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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.