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Finding the Third Proportional to 19,636 and 41,918

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Solution

The third proportional to 19,636 and 41,918 is: 89,484.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,636 : 41,918 = 41,918 : x
  2. Step 2: Convert to fraction form
    19,636/41,918 = 41,918/x
  3. Step 3: Cross multiply
    19,636x = 41,918 × 41,918
  4. Step 4: Simplify right side
    19,636x = 1,757,118,724
  5. Step 5: Solve for x
    x = 1,757,118,724/19,636
  6. Step 6: Final answer
    x = 89,484.56

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.