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Finding the Third Proportional to 20.19 and 29.34

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Solution

The third proportional to 20.19 and 29.34 is: 42.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.19 : 29.34 = 29.34 : x
  2. Step 2: Convert to fraction form
    20.19/29.34 = 29.34/x
  3. Step 3: Cross multiply
    20.19x = 29.34 × 29.34
  4. Step 4: Simplify right side
    20.19x = 861.06
  5. Step 5: Solve for x
    x = 861.06/20.19
  6. Step 6: Final answer
    x = 42.64

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.