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Finding the Third Proportional to 21.94 and 29.11

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Solution

The third proportional to 21.94 and 29.11 is: 38.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.94 : 29.11 = 29.11 : x
  2. Step 2: Convert to fraction form
    21.94/29.11 = 29.11/x
  3. Step 3: Cross multiply
    21.94x = 29.11 × 29.11
  4. Step 4: Simplify right side
    21.94x = 847.36
  5. Step 5: Solve for x
    x = 847.36/21.94
  6. Step 6: Final answer
    x = 38.63

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.