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Finding the Third Proportional to 26.89 and 49.96

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Solution

The third proportional to 26.89 and 49.96 is: 92.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.89 : 49.96 = 49.96 : x
  2. Step 2: Convert to fraction form
    26.89/49.96 = 49.96/x
  3. Step 3: Cross multiply
    26.89x = 49.96 × 49.96
  4. Step 4: Simplify right side
    26.89x = 2,495.70
  5. Step 5: Solve for x
    x = 2,495.70/26.89
  6. Step 6: Final answer
    x = 92.80

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.