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Finding the Third Proportional to 23,022 and 51,228

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Solution

The third proportional to 23,022 and 51,228 is: 113,991.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,022 : 51,228 = 51,228 : x
  2. Step 2: Convert to fraction form
    23,022/51,228 = 51,228/x
  3. Step 3: Cross multiply
    23,022x = 51,228 × 51,228
  4. Step 4: Simplify right side
    23,022x = 2,624,307,984
  5. Step 5: Solve for x
    x = 2,624,307,984/23,022
  6. Step 6: Final answer
    x = 113,991.31

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.