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Finding the Third Proportional to 34.41 and 51.61

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Solution

The third proportional to 34.41 and 51.61 is: 77.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.41 : 51.61 = 51.61 : x
  2. Step 2: Convert to fraction form
    34.41/51.61 = 51.61/x
  3. Step 3: Cross multiply
    34.41x = 51.61 × 51.61
  4. Step 4: Simplify right side
    34.41x = 2,663.98
  5. Step 5: Solve for x
    x = 2,663.98/34.41
  6. Step 6: Final answer
    x = 77.42

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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.