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Finding the Third Proportional to 27,383 and 41,196

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Solution

The third proportional to 27,383 and 41,196 is: 61,976.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,383 : 41,196 = 41,196 : x
  2. Step 2: Convert to fraction form
    27,383/41,196 = 41,196/x
  3. Step 3: Cross multiply
    27,383x = 41,196 × 41,196
  4. Step 4: Simplify right side
    27,383x = 1,697,110,416
  5. Step 5: Solve for x
    x = 1,697,110,416/27,383
  6. Step 6: Final answer
    x = 61,976.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.