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Finding the Third Proportional to 19,684 and 41,592

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Solution

The third proportional to 19,684 and 41,592 is: 87,883.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,684 : 41,592 = 41,592 : x
  2. Step 2: Convert to fraction form
    19,684/41,592 = 41,592/x
  3. Step 3: Cross multiply
    19,684x = 41,592 × 41,592
  4. Step 4: Simplify right side
    19,684x = 1,729,894,464
  5. Step 5: Solve for x
    x = 1,729,894,464/19,684
  6. Step 6: Final answer
    x = 87,883.28

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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.