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Finding the Third Proportional to 41,780 and 91,828

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Solution

The third proportional to 41,780 and 91,828 is: 201,828.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,780 : 91,828 = 91,828 : x
  2. Step 2: Convert to fraction form
    41,780/91,828 = 91,828/x
  3. Step 3: Cross multiply
    41,780x = 91,828 × 91,828
  4. Step 4: Simplify right side
    41,780x = 8,432,381,584
  5. Step 5: Solve for x
    x = 8,432,381,584/41,780
  6. Step 6: Final answer
    x = 201,828.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.