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Finding the Third Proportional to 26.82 and 41.53

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Solution

The third proportional to 26.82 and 41.53 is: 64.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.82 : 41.53 = 41.53 : x
  2. Step 2: Convert to fraction form
    26.82/41.53 = 41.53/x
  3. Step 3: Cross multiply
    26.82x = 41.53 × 41.53
  4. Step 4: Simplify right side
    26.82x = 1,724.60
  5. Step 5: Solve for x
    x = 1,724.60/26.82
  6. Step 6: Final answer
    x = 64.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.