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Finding the Third Proportional to 11,749 and 17,299

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Solution

The third proportional to 11,749 and 17,299 is: 25,470.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,749 : 17,299 = 17,299 : x
  2. Step 2: Convert to fraction form
    11,749/17,299 = 17,299/x
  3. Step 3: Cross multiply
    11,749x = 17,299 × 17,299
  4. Step 4: Simplify right side
    11,749x = 299,255,401
  5. Step 5: Solve for x
    x = 299,255,401/11,749
  6. Step 6: Final answer
    x = 25,470.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.