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Finding the Third Proportional to 41,375.25 and 58,497.75

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Solution

The third proportional to 41,375.25 and 58,497.75 is: 82,706.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,375.25 : 58,497.75 = 58,497.75 : x
  2. Step 2: Convert to fraction form
    41,375.25/58,497.75 = 58,497.75/x
  3. Step 3: Cross multiply
    41,375.25x = 58,497.75 × 58,497.75
  4. Step 4: Simplify right side
    41,375.25x = 3,421,986,755.06
  5. Step 5: Solve for x
    x = 3,421,986,755.06/41,375.25
  6. Step 6: Final answer
    x = 82,706.13

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.