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Finding the Third Proportional to 40,471 and 82,546

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Solution

The third proportional to 40,471 and 82,546 is: 168,363.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,471 : 82,546 = 82,546 : x
  2. Step 2: Convert to fraction form
    40,471/82,546 = 82,546/x
  3. Step 3: Cross multiply
    40,471x = 82,546 × 82,546
  4. Step 4: Simplify right side
    40,471x = 6,813,842,116
  5. Step 5: Solve for x
    x = 6,813,842,116/40,471
  6. Step 6: Final answer
    x = 168,363.57

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.