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Finding the Third Proportional to 17,740 and 27,224

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Solution

The third proportional to 17,740 and 27,224 is: 41,778.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,740 : 27,224 = 27,224 : x
  2. Step 2: Convert to fraction form
    17,740/27,224 = 27,224/x
  3. Step 3: Cross multiply
    17,740x = 27,224 × 27,224
  4. Step 4: Simplify right side
    17,740x = 741,146,176
  5. Step 5: Solve for x
    x = 741,146,176/17,740
  6. Step 6: Final answer
    x = 41,778.25

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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.