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Finding the Third Proportional to 27,364 and 41,846

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Solution

The third proportional to 27,364 and 41,846 is: 63,992.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,364 : 41,846 = 41,846 : x
  2. Step 2: Convert to fraction form
    27,364/41,846 = 41,846/x
  3. Step 3: Cross multiply
    27,364x = 41,846 × 41,846
  4. Step 4: Simplify right side
    27,364x = 1,751,087,716
  5. Step 5: Solve for x
    x = 1,751,087,716/27,364
  6. Step 6: Final answer
    x = 63,992.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.