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Finding the Third Proportional to 51.84 and 122.91

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Solution

The third proportional to 51.84 and 122.91 is: 291.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.84 : 122.91 = 122.91 : x
  2. Step 2: Convert to fraction form
    51.84/122.91 = 122.91/x
  3. Step 3: Cross multiply
    51.84x = 122.91 × 122.91
  4. Step 4: Simplify right side
    51.84x = 15,105.95
  5. Step 5: Solve for x
    x = 15,105.95/51.84
  6. Step 6: Final answer
    x = 291.37

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.