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Finding the Third Proportional to 44.28 and 68.41

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Solution

The third proportional to 44.28 and 68.41 is: 105.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.28 : 68.41 = 68.41 : x
  2. Step 2: Convert to fraction form
    44.28/68.41 = 68.41/x
  3. Step 3: Cross multiply
    44.28x = 68.41 × 68.41
  4. Step 4: Simplify right side
    44.28x = 4,679.42
  5. Step 5: Solve for x
    x = 4,679.42/44.28
  6. Step 6: Final answer
    x = 105.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.