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Finding the Third Proportional to 11,439 and 17,727.75

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Solution

The third proportional to 11,439 and 17,727.75 is: 27,473.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,439 : 17,727.75 = 17,727.75 : x
  2. Step 2: Convert to fraction form
    11,439/17,727.75 = 17,727.75/x
  3. Step 3: Cross multiply
    11,439x = 17,727.75 × 17,727.75
  4. Step 4: Simplify right side
    11,439x = 314,273,120.06
  5. Step 5: Solve for x
    x = 314,273,120.06/11,439
  6. Step 6: Final answer
    x = 27,473.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.