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Finding the Third Proportional to 19,825.50 and 27,003.75

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Solution

The third proportional to 19,825.50 and 27,003.75 is: 36,781.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,825.50 : 27,003.75 = 27,003.75 : x
  2. Step 2: Convert to fraction form
    19,825.50/27,003.75 = 27,003.75/x
  3. Step 3: Cross multiply
    19,825.50x = 27,003.75 × 27,003.75
  4. Step 4: Simplify right side
    19,825.50x = 729,202,514.06
  5. Step 5: Solve for x
    x = 729,202,514.06/19,825.50
  6. Step 6: Final answer
    x = 36,781.04

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.