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Finding the Third Proportional to 20.25 and 32.63

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Solution

The third proportional to 20.25 and 32.63 is: 52.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.25 : 32.63 = 32.63 : x
  2. Step 2: Convert to fraction form
    20.25/32.63 = 32.63/x
  3. Step 3: Cross multiply
    20.25x = 32.63 × 32.63
  4. Step 4: Simplify right side
    20.25x = 1,064.39
  5. Step 5: Solve for x
    x = 1,064.39/20.25
  6. Step 6: Final answer
    x = 52.56

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.