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Finding the Third Proportional to 11,104 and 18,125

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Solution

The third proportional to 11,104 and 18,125 is: 29,585.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,104 : 18,125 = 18,125 : x
  2. Step 2: Convert to fraction form
    11,104/18,125 = 18,125/x
  3. Step 3: Cross multiply
    11,104x = 18,125 × 18,125
  4. Step 4: Simplify right side
    11,104x = 328,515,625
  5. Step 5: Solve for x
    x = 328,515,625/11,104
  6. Step 6: Final answer
    x = 29,585.34

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.