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Finding the Third Proportional to 11,749 and 18,231

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Solution

The third proportional to 11,749 and 18,231 is: 28,289.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,749 : 18,231 = 18,231 : x
  2. Step 2: Convert to fraction form
    11,749/18,231 = 18,231/x
  3. Step 3: Cross multiply
    11,749x = 18,231 × 18,231
  4. Step 4: Simplify right side
    11,749x = 332,369,361
  5. Step 5: Solve for x
    x = 332,369,361/11,749
  6. Step 6: Final answer
    x = 28,289.16

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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.