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Finding the Third Proportional to 25,745.75 and 41,116.75

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Solution

The third proportional to 25,745.75 and 41,116.75 is: 65,664.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,745.75 : 41,116.75 = 41,116.75 : x
  2. Step 2: Convert to fraction form
    25,745.75/41,116.75 = 41,116.75/x
  3. Step 3: Cross multiply
    25,745.75x = 41,116.75 × 41,116.75
  4. Step 4: Simplify right side
    25,745.75x = 1,690,587,130.56
  5. Step 5: Solve for x
    x = 1,690,587,130.56/25,745.75
  6. Step 6: Final answer
    x = 65,664.71

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.