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Finding the Third Proportional to 11,922 and 25,896

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Solution

The third proportional to 11,922 and 25,896 is: 56,249.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,922 : 25,896 = 25,896 : x
  2. Step 2: Convert to fraction form
    11,922/25,896 = 25,896/x
  3. Step 3: Cross multiply
    11,922x = 25,896 × 25,896
  4. Step 4: Simplify right side
    11,922x = 670,602,816
  5. Step 5: Solve for x
    x = 670,602,816/11,922
  6. Step 6: Final answer
    x = 56,249.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.