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Finding the Third Proportional to 41,424.75 and 65,616.75

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Solution

The third proportional to 41,424.75 and 65,616.75 is: 103,936.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,424.75 : 65,616.75 = 65,616.75 : x
  2. Step 2: Convert to fraction form
    41,424.75/65,616.75 = 65,616.75/x
  3. Step 3: Cross multiply
    41,424.75x = 65,616.75 × 65,616.75
  4. Step 4: Simplify right side
    41,424.75x = 4,305,557,880.56
  5. Step 5: Solve for x
    x = 4,305,557,880.56/41,424.75
  6. Step 6: Final answer
    x = 103,936.85

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.