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Finding the Third Proportional to 20.08 and 32.43

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Solution

The third proportional to 20.08 and 32.43 is: 52.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.08 : 32.43 = 32.43 : x
  2. Step 2: Convert to fraction form
    20.08/32.43 = 32.43/x
  3. Step 3: Cross multiply
    20.08x = 32.43 × 32.43
  4. Step 4: Simplify right side
    20.08x = 1,051.90
  5. Step 5: Solve for x
    x = 1,051.90/20.08
  6. Step 6: Final answer
    x = 52.39

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.