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Finding the Third Proportional to 11,586 and 27,003.75

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Solution

The third proportional to 11,586 and 27,003.75 is: 62,938.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,586 : 27,003.75 = 27,003.75 : x
  2. Step 2: Convert to fraction form
    11,586/27,003.75 = 27,003.75/x
  3. Step 3: Cross multiply
    11,586x = 27,003.75 × 27,003.75
  4. Step 4: Simplify right side
    11,586x = 729,202,514.06
  5. Step 5: Solve for x
    x = 729,202,514.06/11,586
  6. Step 6: Final answer
    x = 62,938.25

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.