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Finding the Third Proportional to 8,601.75 and 18,659.25

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Solution

The third proportional to 8,601.75 and 18,659.25 is: 40,476.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,601.75 : 18,659.25 = 18,659.25 : x
  2. Step 2: Convert to fraction form
    8,601.75/18,659.25 = 18,659.25/x
  3. Step 3: Cross multiply
    8,601.75x = 18,659.25 × 18,659.25
  4. Step 4: Simplify right side
    8,601.75x = 348,167,610.56
  5. Step 5: Solve for x
    x = 348,167,610.56/8,601.75
  6. Step 6: Final answer
    x = 40,476.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.