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Finding the Third Proportional to 23,504.25 and 51,659.25

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Solution

The third proportional to 23,504.25 and 51,659.25 is: 113,540.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,504.25 : 51,659.25 = 51,659.25 : x
  2. Step 2: Convert to fraction form
    23,504.25/51,659.25 = 51,659.25/x
  3. Step 3: Cross multiply
    23,504.25x = 51,659.25 × 51,659.25
  4. Step 4: Simplify right side
    23,504.25x = 2,668,678,110.56
  5. Step 5: Solve for x
    x = 2,668,678,110.56/23,504.25
  6. Step 6: Final answer
    x = 113,540.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.