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Finding the Third Proportional to 23.75 and 30.94

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Solution

The third proportional to 23.75 and 30.94 is: 40.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.75 : 30.94 = 30.94 : x
  2. Step 2: Convert to fraction form
    23.75/30.94 = 30.94/x
  3. Step 3: Cross multiply
    23.75x = 30.94 × 30.94
  4. Step 4: Simplify right side
    23.75x = 957.13
  5. Step 5: Solve for x
    x = 957.13/23.75
  6. Step 6: Final answer
    x = 40.30

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.