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Finding the Third Proportional to 26.50 and 56

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Solution

The third proportional to 26.50 and 56 is: 118.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.50 : 56 = 56 : x
  2. Step 2: Convert to fraction form
    26.50/56 = 56/x
  3. Step 3: Cross multiply
    26.50x = 56 × 56
  4. Step 4: Simplify right side
    26.50x = 3,136
  5. Step 5: Solve for x
    x = 3,136/26.50
  6. Step 6: Final answer
    x = 118.34

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.