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Finding the Third Proportional to 23,627 and 36,980

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Solution

The third proportional to 23,627 and 36,980 is: 57,879.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,627 : 36,980 = 36,980 : x
  2. Step 2: Convert to fraction form
    23,627/36,980 = 36,980/x
  3. Step 3: Cross multiply
    23,627x = 36,980 × 36,980
  4. Step 4: Simplify right side
    23,627x = 1,367,520,400
  5. Step 5: Solve for x
    x = 1,367,520,400/23,627
  6. Step 6: Final answer
    x = 57,879.56

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.