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Finding the Third Proportional to 23,230 and 51,149

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Solution

The third proportional to 23,230 and 51,149 is: 112,622.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,230 : 51,149 = 51,149 : x
  2. Step 2: Convert to fraction form
    23,230/51,149 = 51,149/x
  3. Step 3: Cross multiply
    23,230x = 51,149 × 51,149
  4. Step 4: Simplify right side
    23,230x = 2,616,220,201
  5. Step 5: Solve for x
    x = 2,616,220,201/23,230
  6. Step 6: Final answer
    x = 112,622.48

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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.