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Finding the Third Proportional to 26,161.50 and 57,450

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Solution

The third proportional to 26,161.50 and 57,450 is: 126,158.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,161.50 : 57,450 = 57,450 : x
  2. Step 2: Convert to fraction form
    26,161.50/57,450 = 57,450/x
  3. Step 3: Cross multiply
    26,161.50x = 57,450 × 57,450
  4. Step 4: Simplify right side
    26,161.50x = 3,300,502,500
  5. Step 5: Solve for x
    x = 3,300,502,500/26,161.50
  6. Step 6: Final answer
    x = 126,158.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.