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Finding the Third Proportional to 27,980 and 43,671

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Solution

The third proportional to 27,980 and 43,671 is: 68,161.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,980 : 43,671 = 43,671 : x
  2. Step 2: Convert to fraction form
    27,980/43,671 = 43,671/x
  3. Step 3: Cross multiply
    27,980x = 43,671 × 43,671
  4. Step 4: Simplify right side
    27,980x = 1,907,156,241
  5. Step 5: Solve for x
    x = 1,907,156,241/27,980
  6. Step 6: Final answer
    x = 68,161.41

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.