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Finding the Third Proportional to 18,825.75 and 40,592.25

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Solution

The third proportional to 18,825.75 and 40,592.25 is: 87,525.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,825.75 : 40,592.25 = 40,592.25 : x
  2. Step 2: Convert to fraction form
    18,825.75/40,592.25 = 40,592.25/x
  3. Step 3: Cross multiply
    18,825.75x = 40,592.25 × 40,592.25
  4. Step 4: Simplify right side
    18,825.75x = 1,647,730,760.06
  5. Step 5: Solve for x
    x = 1,647,730,760.06/18,825.75
  6. Step 6: Final answer
    x = 87,525.37

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.