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Finding the Third Proportional to 54.84 and 84.28

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Solution

The third proportional to 54.84 and 84.28 is: 129.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.84 : 84.28 = 84.28 : x
  2. Step 2: Convert to fraction form
    54.84/84.28 = 84.28/x
  3. Step 3: Cross multiply
    54.84x = 84.28 × 84.28
  4. Step 4: Simplify right side
    54.84x = 7,103.33
  5. Step 5: Solve for x
    x = 7,103.33/54.84
  6. Step 6: Final answer
    x = 129.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.