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Finding the Third Proportional to 25,781 and 54,326

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Solution

The third proportional to 25,781 and 54,326 is: 114,476.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,781 : 54,326 = 54,326 : x
  2. Step 2: Convert to fraction form
    25,781/54,326 = 54,326/x
  3. Step 3: Cross multiply
    25,781x = 54,326 × 54,326
  4. Step 4: Simplify right side
    25,781x = 2,951,314,276
  5. Step 5: Solve for x
    x = 2,951,314,276/25,781
  6. Step 6: Final answer
    x = 114,476.33

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.