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Finding the Third Proportional to 41,648 and 84,836

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Solution

The third proportional to 41,648 and 84,836 is: 172,808.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,648 : 84,836 = 84,836 : x
  2. Step 2: Convert to fraction form
    41,648/84,836 = 84,836/x
  3. Step 3: Cross multiply
    41,648x = 84,836 × 84,836
  4. Step 4: Simplify right side
    41,648x = 7,197,146,896
  5. Step 5: Solve for x
    x = 7,197,146,896/41,648
  6. Step 6: Final answer
    x = 172,808.94

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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.