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Finding the Third Proportional to 23.41 and 28.79

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Solution

The third proportional to 23.41 and 28.79 is: 35.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.41 : 28.79 = 28.79 : x
  2. Step 2: Convert to fraction form
    23.41/28.79 = 28.79/x
  3. Step 3: Cross multiply
    23.41x = 28.79 × 28.79
  4. Step 4: Simplify right side
    23.41x = 829.04
  5. Step 5: Solve for x
    x = 829.04/23.41
  6. Step 6: Final answer
    x = 35.41

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Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.