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Finding the Third Proportional to 13.08 and 20.32

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Solution

The third proportional to 13.08 and 20.32 is: 31.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.08 : 20.32 = 20.32 : x
  2. Step 2: Convert to fraction form
    13.08/20.32 = 20.32/x
  3. Step 3: Cross multiply
    13.08x = 20.32 × 20.32
  4. Step 4: Simplify right side
    13.08x = 412.92
  5. Step 5: Solve for x
    x = 412.92/13.08
  6. Step 6: Final answer
    x = 31.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.