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Finding the Third Proportional to 27,652 and 41,990

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Solution

The third proportional to 27,652 and 41,990 is: 63,762.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,652 : 41,990 = 41,990 : x
  2. Step 2: Convert to fraction form
    27,652/41,990 = 41,990/x
  3. Step 3: Cross multiply
    27,652x = 41,990 × 41,990
  4. Step 4: Simplify right side
    27,652x = 1,763,160,100
  5. Step 5: Solve for x
    x = 1,763,160,100/27,652
  6. Step 6: Final answer
    x = 63,762.48

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.