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Finding the Third Proportional to 11,562 and 17,925

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Solution

The third proportional to 11,562 and 17,925 is: 27,789.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,562 : 17,925 = 17,925 : x
  2. Step 2: Convert to fraction form
    11,562/17,925 = 17,925/x
  3. Step 3: Cross multiply
    11,562x = 17,925 × 17,925
  4. Step 4: Simplify right side
    11,562x = 321,305,625
  5. Step 5: Solve for x
    x = 321,305,625/11,562
  6. Step 6: Final answer
    x = 27,789.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.