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Finding the Third Proportional to 26,780 and 40,150

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Solution

The third proportional to 26,780 and 40,150 is: 60,195.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,780 : 40,150 = 40,150 : x
  2. Step 2: Convert to fraction form
    26,780/40,150 = 40,150/x
  3. Step 3: Cross multiply
    26,780x = 40,150 × 40,150
  4. Step 4: Simplify right side
    26,780x = 1,612,022,500
  5. Step 5: Solve for x
    x = 1,612,022,500/26,780
  6. Step 6: Final answer
    x = 60,195.01

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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.