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Finding the Third Proportional to 26,905.50 and 54,906

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Solution

The third proportional to 26,905.50 and 54,906 is: 112,046.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,905.50 : 54,906 = 54,906 : x
  2. Step 2: Convert to fraction form
    26,905.50/54,906 = 54,906/x
  3. Step 3: Cross multiply
    26,905.50x = 54,906 × 54,906
  4. Step 4: Simplify right side
    26,905.50x = 3,014,668,836
  5. Step 5: Solve for x
    x = 3,014,668,836/26,905.50
  6. Step 6: Final answer
    x = 112,046.56

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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.