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Finding the Third Proportional to 11,842 and 17,793

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Solution

The third proportional to 11,842 and 17,793 is: 26,734.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,842 : 17,793 = 17,793 : x
  2. Step 2: Convert to fraction form
    11,842/17,793 = 17,793/x
  3. Step 3: Cross multiply
    11,842x = 17,793 × 17,793
  4. Step 4: Simplify right side
    11,842x = 316,590,849
  5. Step 5: Solve for x
    x = 316,590,849/11,842
  6. Step 6: Final answer
    x = 26,734.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.