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Finding the Third Proportional to 19.50 and 32.44

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Solution

The third proportional to 19.50 and 32.44 is: 53.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.50 : 32.44 = 32.44 : x
  2. Step 2: Convert to fraction form
    19.50/32.44 = 32.44/x
  3. Step 3: Cross multiply
    19.50x = 32.44 × 32.44
  4. Step 4: Simplify right side
    19.50x = 1,052.19
  5. Step 5: Solve for x
    x = 1,052.19/19.50
  6. Step 6: Final answer
    x = 53.96

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.