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Finding the Third Proportional to 17,546.25 and 22,764.75

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Solution

The third proportional to 17,546.25 and 22,764.75 is: 29,535.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,546.25 : 22,764.75 = 22,764.75 : x
  2. Step 2: Convert to fraction form
    17,546.25/22,764.75 = 22,764.75/x
  3. Step 3: Cross multiply
    17,546.25x = 22,764.75 × 22,764.75
  4. Step 4: Simplify right side
    17,546.25x = 518,233,842.56
  5. Step 5: Solve for x
    x = 518,233,842.56/17,546.25
  6. Step 6: Final answer
    x = 29,535.30

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.