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Finding the Third Proportional to 26.42 and 55.85

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Solution

The third proportional to 26.42 and 55.85 is: 118.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.42 : 55.85 = 55.85 : x
  2. Step 2: Convert to fraction form
    26.42/55.85 = 55.85/x
  3. Step 3: Cross multiply
    26.42x = 55.85 × 55.85
  4. Step 4: Simplify right side
    26.42x = 3,118.74
  5. Step 5: Solve for x
    x = 3,118.74/26.42
  6. Step 6: Final answer
    x = 118.05

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Why These Related Problems?

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