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Finding the Third Proportional to 4,963 and 11,696

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Solution

The third proportional to 4,963 and 11,696 is: 27,563.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,963 : 11,696 = 11,696 : x
  2. Step 2: Convert to fraction form
    4,963/11,696 = 11,696/x
  3. Step 3: Cross multiply
    4,963x = 11,696 × 11,696
  4. Step 4: Simplify right side
    4,963x = 136,796,416
  5. Step 5: Solve for x
    x = 136,796,416/4,963
  6. Step 6: Final answer
    x = 27,563.25

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.