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Finding the Third Proportional to 11,669.44 and 17,936.81

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Solution

The third proportional to 11,669.44 and 17,936.81 is: 27,570.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,669.44 : 17,936.81 = 17,936.81 : x
  2. Step 2: Convert to fraction form
    11,669.44/17,936.81 = 17,936.81/x
  3. Step 3: Cross multiply
    11,669.44x = 17,936.81 × 17,936.81
  4. Step 4: Simplify right side
    11,669.44x = 321,729,242.66
  5. Step 5: Solve for x
    x = 321,729,242.66/11,669.44
  6. Step 6: Final answer
    x = 27,570.24

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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.