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Finding the Third Proportional to 11,554.31 and 24,951.75

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Solution

The third proportional to 11,554.31 and 24,951.75 is: 53,883.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,554.31 : 24,951.75 = 24,951.75 : x
  2. Step 2: Convert to fraction form
    11,554.31/24,951.75 = 24,951.75/x
  3. Step 3: Cross multiply
    11,554.31x = 24,951.75 × 24,951.75
  4. Step 4: Simplify right side
    11,554.31x = 622,589,828.06
  5. Step 5: Solve for x
    x = 622,589,828.06/11,554.31
  6. Step 6: Final answer
    x = 53,883.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.