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Finding the Third Proportional to 52.94 and 76.97

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Solution

The third proportional to 52.94 and 76.97 is: 111.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.94 : 76.97 = 76.97 : x
  2. Step 2: Convert to fraction form
    52.94/76.97 = 76.97/x
  3. Step 3: Cross multiply
    52.94x = 76.97 × 76.97
  4. Step 4: Simplify right side
    52.94x = 5,924.19
  5. Step 5: Solve for x
    x = 5,924.19/52.94
  6. Step 6: Final answer
    x = 111.91

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.