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Finding the Third Proportional to 11,884.50 and 27,591.75

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Solution

The third proportional to 11,884.50 and 27,591.75 is: 64,058.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,884.50 : 27,591.75 = 27,591.75 : x
  2. Step 2: Convert to fraction form
    11,884.50/27,591.75 = 27,591.75/x
  3. Step 3: Cross multiply
    11,884.50x = 27,591.75 × 27,591.75
  4. Step 4: Simplify right side
    11,884.50x = 761,304,668.06
  5. Step 5: Solve for x
    x = 761,304,668.06/11,884.50
  6. Step 6: Final answer
    x = 64,058.62

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.