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Finding the Third Proportional to 12,050 and 25,022

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Solution

The third proportional to 12,050 and 25,022 is: 51,958.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,050 : 25,022 = 25,022 : x
  2. Step 2: Convert to fraction form
    12,050/25,022 = 25,022/x
  3. Step 3: Cross multiply
    12,050x = 25,022 × 25,022
  4. Step 4: Simplify right side
    12,050x = 626,100,484
  5. Step 5: Solve for x
    x = 626,100,484/12,050
  6. Step 6: Final answer
    x = 51,958.55

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.