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Finding the Third Proportional to 25,764.25 and 40,982.75

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Solution

The third proportional to 25,764.25 and 40,982.75 is: 65,190.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,764.25 : 40,982.75 = 40,982.75 : x
  2. Step 2: Convert to fraction form
    25,764.25/40,982.75 = 40,982.75/x
  3. Step 3: Cross multiply
    25,764.25x = 40,982.75 × 40,982.75
  4. Step 4: Simplify right side
    25,764.25x = 1,679,585,797.56
  5. Step 5: Solve for x
    x = 1,679,585,797.56/25,764.25
  6. Step 6: Final answer
    x = 65,190.56

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.