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Finding the Third Proportional to 17,417 and 27,003

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Solution

The third proportional to 17,417 and 27,003 is: 41,864.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,417 : 27,003 = 27,003 : x
  2. Step 2: Convert to fraction form
    17,417/27,003 = 27,003/x
  3. Step 3: Cross multiply
    17,417x = 27,003 × 27,003
  4. Step 4: Simplify right side
    17,417x = 729,162,009
  5. Step 5: Solve for x
    x = 729,162,009/17,417
  6. Step 6: Final answer
    x = 41,864.96

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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.