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Finding the Third Proportional to 23,530 and 51,796

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Solution

The third proportional to 23,530 and 51,796 is: 114,017.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,530 : 51,796 = 51,796 : x
  2. Step 2: Convert to fraction form
    23,530/51,796 = 51,796/x
  3. Step 3: Cross multiply
    23,530x = 51,796 × 51,796
  4. Step 4: Simplify right side
    23,530x = 2,682,825,616
  5. Step 5: Solve for x
    x = 2,682,825,616/23,530
  6. Step 6: Final answer
    x = 114,017.24

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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.