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Finding the Third Proportional to 21.38 and 32.44

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Solution

The third proportional to 21.38 and 32.44 is: 49.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.38 : 32.44 = 32.44 : x
  2. Step 2: Convert to fraction form
    21.38/32.44 = 32.44/x
  3. Step 3: Cross multiply
    21.38x = 32.44 × 32.44
  4. Step 4: Simplify right side
    21.38x = 1,052.19
  5. Step 5: Solve for x
    x = 1,052.19/21.38
  6. Step 6: Final answer
    x = 49.23

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.