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Finding the Third Proportional to 27,085 and 41,856

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Solution

The third proportional to 27,085 and 41,856 is: 64,682.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,085 : 41,856 = 41,856 : x
  2. Step 2: Convert to fraction form
    27,085/41,856 = 41,856/x
  3. Step 3: Cross multiply
    27,085x = 41,856 × 41,856
  4. Step 4: Simplify right side
    27,085x = 1,751,924,736
  5. Step 5: Solve for x
    x = 1,751,924,736/27,085
  6. Step 6: Final answer
    x = 64,682.47

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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.