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Finding the Third Proportional to 17,467 and 35,743

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Solution

The third proportional to 17,467 and 35,743 is: 73,141.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,467 : 35,743 = 35,743 : x
  2. Step 2: Convert to fraction form
    17,467/35,743 = 35,743/x
  3. Step 3: Cross multiply
    17,467x = 35,743 × 35,743
  4. Step 4: Simplify right side
    17,467x = 1,277,562,049
  5. Step 5: Solve for x
    x = 1,277,562,049/17,467
  6. Step 6: Final answer
    x = 73,141.47

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.