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Finding the Third Proportional to 19,696 and 30,503

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Solution

The third proportional to 19,696 and 30,503 is: 47,239.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,696 : 30,503 = 30,503 : x
  2. Step 2: Convert to fraction form
    19,696/30,503 = 30,503/x
  3. Step 3: Cross multiply
    19,696x = 30,503 × 30,503
  4. Step 4: Simplify right side
    19,696x = 930,433,009
  5. Step 5: Solve for x
    x = 930,433,009/19,696
  6. Step 6: Final answer
    x = 47,239.69

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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.