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Finding the Third Proportional to 19,616 and 30,394

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Solution

The third proportional to 19,616 and 30,394 is: 47,093.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,616 : 30,394 = 30,394 : x
  2. Step 2: Convert to fraction form
    19,616/30,394 = 30,394/x
  3. Step 3: Cross multiply
    19,616x = 30,394 × 30,394
  4. Step 4: Simplify right side
    19,616x = 923,795,236
  5. Step 5: Solve for x
    x = 923,795,236/19,616
  6. Step 6: Final answer
    x = 47,093.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.