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Finding the Third Proportional to 11,904 and 25,636

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Solution

The third proportional to 11,904 and 25,636 is: 55,208.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,904 : 25,636 = 25,636 : x
  2. Step 2: Convert to fraction form
    11,904/25,636 = 25,636/x
  3. Step 3: Cross multiply
    11,904x = 25,636 × 25,636
  4. Step 4: Simplify right side
    11,904x = 657,204,496
  5. Step 5: Solve for x
    x = 657,204,496/11,904
  6. Step 6: Final answer
    x = 55,208.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.