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Finding the Third Proportional to 20.94 and 29.46

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Solution

The third proportional to 20.94 and 29.46 is: 41.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.94 : 29.46 = 29.46 : x
  2. Step 2: Convert to fraction form
    20.94/29.46 = 29.46/x
  3. Step 3: Cross multiply
    20.94x = 29.46 × 29.46
  4. Step 4: Simplify right side
    20.94x = 867.95
  5. Step 5: Solve for x
    x = 867.95/20.94
  6. Step 6: Final answer
    x = 41.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.