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Finding the Third Proportional to 4,954.50 and 11,696.06

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Solution

The third proportional to 4,954.50 and 11,696.06 is: 27,610.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,954.50 : 11,696.06 = 11,696.06 : x
  2. Step 2: Convert to fraction form
    4,954.50/11,696.06 = 11,696.06/x
  3. Step 3: Cross multiply
    4,954.50x = 11,696.06 × 11,696.06
  4. Step 4: Simplify right side
    4,954.50x = 136,797,878.00
  5. Step 5: Solve for x
    x = 136,797,878.00/4,954.50
  6. Step 6: Final answer
    x = 27,610.83

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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.