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Finding the Third Proportional to 19,108 and 40,394

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Solution

The third proportional to 19,108 and 40,394 is: 85,392.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,108 : 40,394 = 40,394 : x
  2. Step 2: Convert to fraction form
    19,108/40,394 = 40,394/x
  3. Step 3: Cross multiply
    19,108x = 40,394 × 40,394
  4. Step 4: Simplify right side
    19,108x = 1,631,675,236
  5. Step 5: Solve for x
    x = 1,631,675,236/19,108
  6. Step 6: Final answer
    x = 85,392.26

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.