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Finding the Third Proportional to 11,662.88 and 18,009.56

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Solution

The third proportional to 11,662.88 and 18,009.56 is: 27,809.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,662.88 : 18,009.56 = 18,009.56 : x
  2. Step 2: Convert to fraction form
    11,662.88/18,009.56 = 18,009.56/x
  3. Step 3: Cross multiply
    11,662.88x = 18,009.56 × 18,009.56
  4. Step 4: Simplify right side
    11,662.88x = 324,344,341.44
  5. Step 5: Solve for x
    x = 324,344,341.44/11,662.88
  6. Step 6: Final answer
    x = 27,809.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.