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Finding the Third Proportional to 11,232.75 and 17,619.38

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Solution

The third proportional to 11,232.75 and 17,619.38 is: 27,637.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,232.75 : 17,619.38 = 17,619.38 : x
  2. Step 2: Convert to fraction form
    11,232.75/17,619.38 = 17,619.38/x
  3. Step 3: Cross multiply
    11,232.75x = 17,619.38 × 17,619.38
  4. Step 4: Simplify right side
    11,232.75x = 310,442,375.39
  5. Step 5: Solve for x
    x = 310,442,375.39/11,232.75
  6. Step 6: Final answer
    x = 27,637.25

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.