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Finding the Third Proportional to 34.50 and 51.75

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Solution

The third proportional to 34.50 and 51.75 is: 77.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.50 : 51.75 = 51.75 : x
  2. Step 2: Convert to fraction form
    34.50/51.75 = 51.75/x
  3. Step 3: Cross multiply
    34.50x = 51.75 × 51.75
  4. Step 4: Simplify right side
    34.50x = 2,678.06
  5. Step 5: Solve for x
    x = 2,678.06/34.50
  6. Step 6: Final answer
    x = 77.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.