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Finding the Third Proportional to 25,048 and 51,022

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Solution

The third proportional to 25,048 and 51,022 is: 103,930.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,048 : 51,022 = 51,022 : x
  2. Step 2: Convert to fraction form
    25,048/51,022 = 51,022/x
  3. Step 3: Cross multiply
    25,048x = 51,022 × 51,022
  4. Step 4: Simplify right side
    25,048x = 2,603,244,484
  5. Step 5: Solve for x
    x = 2,603,244,484/25,048
  6. Step 6: Final answer
    x = 103,930.23

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.