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Finding the Third Proportional to 41,024 and 55,686

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Solution

The third proportional to 41,024 and 55,686 is: 75,588.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,024 : 55,686 = 55,686 : x
  2. Step 2: Convert to fraction form
    41,024/55,686 = 55,686/x
  3. Step 3: Cross multiply
    41,024x = 55,686 × 55,686
  4. Step 4: Simplify right side
    41,024x = 3,100,930,596
  5. Step 5: Solve for x
    x = 3,100,930,596/41,024
  6. Step 6: Final answer
    x = 75,588.21

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.