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Finding the Third Proportional to 27,326 and 36,723

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Solution

The third proportional to 27,326 and 36,723 is: 49,351.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,326 : 36,723 = 36,723 : x
  2. Step 2: Convert to fraction form
    27,326/36,723 = 36,723/x
  3. Step 3: Cross multiply
    27,326x = 36,723 × 36,723
  4. Step 4: Simplify right side
    27,326x = 1,348,578,729
  5. Step 5: Solve for x
    x = 1,348,578,729/27,326
  6. Step 6: Final answer
    x = 49,351.49

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.