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Finding the Third Proportional to 15.94 and 28.34

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Solution

The third proportional to 15.94 and 28.34 is: 50.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.94 : 28.34 = 28.34 : x
  2. Step 2: Convert to fraction form
    15.94/28.34 = 28.34/x
  3. Step 3: Cross multiply
    15.94x = 28.34 × 28.34
  4. Step 4: Simplify right side
    15.94x = 803.37
  5. Step 5: Solve for x
    x = 803.37/15.94
  6. Step 6: Final answer
    x = 50.41

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.