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Finding the Third Proportional to 20.13 and 33.07

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Solution

The third proportional to 20.13 and 33.07 is: 54.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.13 : 33.07 = 33.07 : x
  2. Step 2: Convert to fraction form
    20.13/33.07 = 33.07/x
  3. Step 3: Cross multiply
    20.13x = 33.07 × 33.07
  4. Step 4: Simplify right side
    20.13x = 1,093.65
  5. Step 5: Solve for x
    x = 1,093.65/20.13
  6. Step 6: Final answer
    x = 54.32

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.