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Finding the Third Proportional to 54 and 55.69

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Solution

The third proportional to 54 and 55.69 is: 57.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    54 : 55.69 = 55.69 : x
  2. Step 2: Convert to fraction form
    54/55.69 = 55.69/x
  3. Step 3: Cross multiply
    54x = 55.69 × 55.69
  4. Step 4: Simplify right side
    54x = 3,101.10
  5. Step 5: Solve for x
    x = 3,101.10/54
  6. Step 6: Final answer
    x = 57.43

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Why These Related Problems?

These problems maintain the same ratio (1.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.