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Finding the Third Proportional to 11,589.88 and 25,027.56

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Solution

The third proportional to 11,589.88 and 25,027.56 is: 54,045.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,589.88 : 25,027.56 = 25,027.56 : x
  2. Step 2: Convert to fraction form
    11,589.88/25,027.56 = 25,027.56/x
  3. Step 3: Cross multiply
    11,589.88x = 25,027.56 × 25,027.56
  4. Step 4: Simplify right side
    11,589.88x = 626,378,884.69
  5. Step 5: Solve for x
    x = 626,378,884.69/11,589.88
  6. Step 6: Final answer
    x = 54,045.35

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Why These Related Problems?

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