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Finding the Third Proportional to 27,118 and 49,736

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Solution

The third proportional to 27,118 and 49,736 is: 91,218.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,118 : 49,736 = 49,736 : x
  2. Step 2: Convert to fraction form
    27,118/49,736 = 49,736/x
  3. Step 3: Cross multiply
    27,118x = 49,736 × 49,736
  4. Step 4: Simplify right side
    27,118x = 2,473,669,696
  5. Step 5: Solve for x
    x = 2,473,669,696/27,118
  6. Step 6: Final answer
    x = 91,218.74

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.