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Finding the Third Proportional to 34.05 and 51.22

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Solution

The third proportional to 34.05 and 51.22 is: 77.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.05 : 51.22 = 51.22 : x
  2. Step 2: Convert to fraction form
    34.05/51.22 = 51.22/x
  3. Step 3: Cross multiply
    34.05x = 51.22 × 51.22
  4. Step 4: Simplify right side
    34.05x = 2,623.36
  5. Step 5: Solve for x
    x = 2,623.36/34.05
  6. Step 6: Final answer
    x = 77.05

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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.