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Finding the Third Proportional to 34.94 and 51.03

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Solution

The third proportional to 34.94 and 51.03 is: 74.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.94 : 51.03 = 51.03 : x
  2. Step 2: Convert to fraction form
    34.94/51.03 = 51.03/x
  3. Step 3: Cross multiply
    34.94x = 51.03 × 51.03
  4. Step 4: Simplify right side
    34.94x = 2,604.19
  5. Step 5: Solve for x
    x = 2,604.19/34.94
  6. Step 6: Final answer
    x = 74.54

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.