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Finding the Third Proportional to 41,022 and 58,662

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Solution

The third proportional to 41,022 and 58,662 is: 83,887.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,022 : 58,662 = 58,662 : x
  2. Step 2: Convert to fraction form
    41,022/58,662 = 58,662/x
  3. Step 3: Cross multiply
    41,022x = 58,662 × 58,662
  4. Step 4: Simplify right side
    41,022x = 3,441,230,244
  5. Step 5: Solve for x
    x = 3,441,230,244/41,022
  6. Step 6: Final answer
    x = 83,887.43

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.