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Finding the Third Proportional to 12,022.88 and 25,686

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Solution

The third proportional to 12,022.88 and 25,686 is: 54,876.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,022.88 : 25,686 = 25,686 : x
  2. Step 2: Convert to fraction form
    12,022.88/25,686 = 25,686/x
  3. Step 3: Cross multiply
    12,022.88x = 25,686 × 25,686
  4. Step 4: Simplify right side
    12,022.88x = 659,770,596
  5. Step 5: Solve for x
    x = 659,770,596/12,022.88
  6. Step 6: Final answer
    x = 54,876.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.