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Finding the Third Proportional to 54.28 and 84.66

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Solution

The third proportional to 54.28 and 84.66 is: 132.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.28 : 84.66 = 84.66 : x
  2. Step 2: Convert to fraction form
    54.28/84.66 = 84.66/x
  3. Step 3: Cross multiply
    54.28x = 84.66 × 84.66
  4. Step 4: Simplify right side
    54.28x = 7,166.68
  5. Step 5: Solve for x
    x = 7,166.68/54.28
  6. Step 6: Final answer
    x = 132.03

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.