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Finding the Third Proportional to 22,659.75 and 27,965.25

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Solution

The third proportional to 22,659.75 and 27,965.25 is: 34,512.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,659.75 : 27,965.25 = 27,965.25 : x
  2. Step 2: Convert to fraction form
    22,659.75/27,965.25 = 27,965.25/x
  3. Step 3: Cross multiply
    22,659.75x = 27,965.25 × 27,965.25
  4. Step 4: Simplify right side
    22,659.75x = 782,055,207.56
  5. Step 5: Solve for x
    x = 782,055,207.56/22,659.75
  6. Step 6: Final answer
    x = 34,512.97

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Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.