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Finding the Third Proportional to 27,504 and 56,736

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Solution

The third proportional to 27,504 and 56,736 is: 117,036.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,504 : 56,736 = 56,736 : x
  2. Step 2: Convert to fraction form
    27,504/56,736 = 56,736/x
  3. Step 3: Cross multiply
    27,504x = 56,736 × 56,736
  4. Step 4: Simplify right side
    27,504x = 3,218,973,696
  5. Step 5: Solve for x
    x = 3,218,973,696/27,504
  6. Step 6: Final answer
    x = 117,036.57

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.