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Finding the Third Proportional to 17,842 and 23,467

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Solution

The third proportional to 17,842 and 23,467 is: 30,865.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,842 : 23,467 = 23,467 : x
  2. Step 2: Convert to fraction form
    17,842/23,467 = 23,467/x
  3. Step 3: Cross multiply
    17,842x = 23,467 × 23,467
  4. Step 4: Simplify right side
    17,842x = 550,700,089
  5. Step 5: Solve for x
    x = 550,700,089/17,842
  6. Step 6: Final answer
    x = 30,865.38

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.