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Finding the Third Proportional to 4,869 and 11,221.88

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Solution

The third proportional to 4,869 and 11,221.88 is: 25,863.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,869 : 11,221.88 = 11,221.88 : x
  2. Step 2: Convert to fraction form
    4,869/11,221.88 = 11,221.88/x
  3. Step 3: Cross multiply
    4,869x = 11,221.88 × 11,221.88
  4. Step 4: Simplify right side
    4,869x = 125,930,478.52
  5. Step 5: Solve for x
    x = 125,930,478.52/4,869
  6. Step 6: Final answer
    x = 25,863.73

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.