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Finding the Third Proportional to 54.69 and 77.97

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Solution

The third proportional to 54.69 and 77.97 is: 111.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.69 : 77.97 = 77.97 : x
  2. Step 2: Convert to fraction form
    54.69/77.97 = 77.97/x
  3. Step 3: Cross multiply
    54.69x = 77.97 × 77.97
  4. Step 4: Simplify right side
    54.69x = 6,079.13
  5. Step 5: Solve for x
    x = 6,079.13/54.69
  6. Step 6: Final answer
    x = 111.16

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.