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Finding the Third Proportional to 19,486 and 41,631

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Solution

The third proportional to 19,486 and 41,631 is: 88,942.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,486 : 41,631 = 41,631 : x
  2. Step 2: Convert to fraction form
    19,486/41,631 = 41,631/x
  3. Step 3: Cross multiply
    19,486x = 41,631 × 41,631
  4. Step 4: Simplify right side
    19,486x = 1,733,140,161
  5. Step 5: Solve for x
    x = 1,733,140,161/19,486
  6. Step 6: Final answer
    x = 88,942.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.