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Finding the Third Proportional to 26.19 and 54.77

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Solution

The third proportional to 26.19 and 54.77 is: 114.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.19 : 54.77 = 54.77 : x
  2. Step 2: Convert to fraction form
    26.19/54.77 = 54.77/x
  3. Step 3: Cross multiply
    26.19x = 54.77 × 54.77
  4. Step 4: Simplify right side
    26.19x = 2,999.27
  5. Step 5: Solve for x
    x = 2,999.27/26.19
  6. Step 6: Final answer
    x = 114.53

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.