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Finding the Third Proportional to 46,982 and 100,975

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Solution

The third proportional to 46,982 and 100,975 is: 217,018.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,982 : 100,975 = 100,975 : x
  2. Step 2: Convert to fraction form
    46,982/100,975 = 100,975/x
  3. Step 3: Cross multiply
    46,982x = 100,975 × 100,975
  4. Step 4: Simplify right side
    46,982x = 10,195,950,625
  5. Step 5: Solve for x
    x = 10,195,950,625/46,982
  6. Step 6: Final answer
    x = 217,018.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.