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Finding the Third Proportional to 27,104 and 29,856

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Solution

The third proportional to 27,104 and 29,856 is: 32,887.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,104 : 29,856 = 29,856 : x
  2. Step 2: Convert to fraction form
    27,104/29,856 = 29,856/x
  3. Step 3: Cross multiply
    27,104x = 29,856 × 29,856
  4. Step 4: Simplify right side
    27,104x = 891,380,736
  5. Step 5: Solve for x
    x = 891,380,736/27,104
  6. Step 6: Final answer
    x = 32,887.42

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.