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Finding the Third Proportional to 19.22 and 32.04

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Solution

The third proportional to 19.22 and 32.04 is: 53.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.22 : 32.04 = 32.04 : x
  2. Step 2: Convert to fraction form
    19.22/32.04 = 32.04/x
  3. Step 3: Cross multiply
    19.22x = 32.04 × 32.04
  4. Step 4: Simplify right side
    19.22x = 1,026.31
  5. Step 5: Solve for x
    x = 1,026.31/19.22
  6. Step 6: Final answer
    x = 53.39

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.