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Finding the Third Proportional to 11,772 and 18,033.75

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Solution

The third proportional to 11,772 and 18,033.75 is: 27,626.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,772 : 18,033.75 = 18,033.75 : x
  2. Step 2: Convert to fraction form
    11,772/18,033.75 = 18,033.75/x
  3. Step 3: Cross multiply
    11,772x = 18,033.75 × 18,033.75
  4. Step 4: Simplify right side
    11,772x = 325,216,139.06
  5. Step 5: Solve for x
    x = 325,216,139.06/11,772
  6. Step 6: Final answer
    x = 27,626.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.