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Finding the Third Proportional to 11,446 and 18,337

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Solution

The third proportional to 11,446 and 18,337 is: 29,376.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,446 : 18,337 = 18,337 : x
  2. Step 2: Convert to fraction form
    11,446/18,337 = 18,337/x
  3. Step 3: Cross multiply
    11,446x = 18,337 × 18,337
  4. Step 4: Simplify right side
    11,446x = 336,245,569
  5. Step 5: Solve for x
    x = 336,245,569/11,446
  6. Step 6: Final answer
    x = 29,376.69

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.