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Finding the Third Proportional to 34.50 and 52.75

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Solution

The third proportional to 34.50 and 52.75 is: 80.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.50 : 52.75 = 52.75 : x
  2. Step 2: Convert to fraction form
    34.50/52.75 = 52.75/x
  3. Step 3: Cross multiply
    34.50x = 52.75 × 52.75
  4. Step 4: Simplify right side
    34.50x = 2,782.56
  5. Step 5: Solve for x
    x = 2,782.56/34.50
  6. Step 6: Final answer
    x = 80.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.