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Finding the Third Proportional to 41,021 and 87,729

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Solution

The third proportional to 41,021 and 87,729 is: 187,620.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,021 : 87,729 = 87,729 : x
  2. Step 2: Convert to fraction form
    41,021/87,729 = 87,729/x
  3. Step 3: Cross multiply
    41,021x = 87,729 × 87,729
  4. Step 4: Simplify right side
    41,021x = 7,696,377,441
  5. Step 5: Solve for x
    x = 7,696,377,441/41,021
  6. Step 6: Final answer
    x = 187,620.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.