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Finding the Third Proportional to 27,077 and 40,616

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Solution

The third proportional to 27,077 and 40,616 is: 60,924.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,077 : 40,616 = 40,616 : x
  2. Step 2: Convert to fraction form
    27,077/40,616 = 40,616/x
  3. Step 3: Cross multiply
    27,077x = 40,616 × 40,616
  4. Step 4: Simplify right side
    27,077x = 1,649,659,456
  5. Step 5: Solve for x
    x = 1,649,659,456/27,077
  6. Step 6: Final answer
    x = 60,924.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.