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Finding the Third Proportional to 20 and 31.94

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Solution

The third proportional to 20 and 31.94 is: 51.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20 : 31.94 = 31.94 : x
  2. Step 2: Convert to fraction form
    20/31.94 = 31.94/x
  3. Step 3: Cross multiply
    20x = 31.94 × 31.94
  4. Step 4: Simplify right side
    20x = 1,020.00
  5. Step 5: Solve for x
    x = 1,020.00/20
  6. Step 6: Final answer
    x = 51.00

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.