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Finding the Third Proportional to 11,863.97 and 25,261.88

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Solution

The third proportional to 11,863.97 and 25,261.88 is: 53,789.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,863.97 : 25,261.88 = 25,261.88 : x
  2. Step 2: Convert to fraction form
    11,863.97/25,261.88 = 25,261.88/x
  3. Step 3: Cross multiply
    11,863.97x = 25,261.88 × 25,261.88
  4. Step 4: Simplify right side
    11,863.97x = 638,162,328.52
  5. Step 5: Solve for x
    x = 638,162,328.52/11,863.97
  6. Step 6: Final answer
    x = 53,789.95

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.