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Finding the Third Proportional to 4,939.25 and 11,659.63

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Solution

The third proportional to 4,939.25 and 11,659.63 is: 27,523.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,939.25 : 11,659.63 = 11,659.63 : x
  2. Step 2: Convert to fraction form
    4,939.25/11,659.63 = 11,659.63/x
  3. Step 3: Cross multiply
    4,939.25x = 11,659.63 × 11,659.63
  4. Step 4: Simplify right side
    4,939.25x = 135,946,855.14
  5. Step 5: Solve for x
    x = 135,946,855.14/4,939.25
  6. Step 6: Final answer
    x = 27,523.79

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