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Finding the Third Proportional to 10.75 and 23.11

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Solution

The third proportional to 10.75 and 23.11 is: 49.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.75 : 23.11 = 23.11 : x
  2. Step 2: Convert to fraction form
    10.75/23.11 = 23.11/x
  3. Step 3: Cross multiply
    10.75x = 23.11 × 23.11
  4. Step 4: Simplify right side
    10.75x = 534.01
  5. Step 5: Solve for x
    x = 534.01/10.75
  6. Step 6: Final answer
    x = 49.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.