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Finding the Third Proportional to 27,272.25 and 58,839.75

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Solution

The third proportional to 27,272.25 and 58,839.75 is: 126,946.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,272.25 : 58,839.75 = 58,839.75 : x
  2. Step 2: Convert to fraction form
    27,272.25/58,839.75 = 58,839.75/x
  3. Step 3: Cross multiply
    27,272.25x = 58,839.75 × 58,839.75
  4. Step 4: Simplify right side
    27,272.25x = 3,462,116,180.06
  5. Step 5: Solve for x
    x = 3,462,116,180.06/27,272.25
  6. Step 6: Final answer
    x = 126,946.48

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.