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Finding the Third Proportional to 54 and 76.50

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Solution

The third proportional to 54 and 76.50 is: 108.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    54 : 76.50 = 76.50 : x
  2. Step 2: Convert to fraction form
    54/76.50 = 76.50/x
  3. Step 3: Cross multiply
    54x = 76.50 × 76.50
  4. Step 4: Simplify right side
    54x = 5,852.25
  5. Step 5: Solve for x
    x = 5,852.25/54
  6. Step 6: Final answer
    x = 108.38

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.