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Finding the Third Proportional to 17,989 and 27,235

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Solution

The third proportional to 17,989 and 27,235 is: 41,233.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,989 : 27,235 = 27,235 : x
  2. Step 2: Convert to fraction form
    17,989/27,235 = 27,235/x
  3. Step 3: Cross multiply
    17,989x = 27,235 × 27,235
  4. Step 4: Simplify right side
    17,989x = 741,745,225
  5. Step 5: Solve for x
    x = 741,745,225/17,989
  6. Step 6: Final answer
    x = 41,233.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.