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Finding the Third Proportional to 24.19 and 32.44

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Solution

The third proportional to 24.19 and 32.44 is: 43.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.19 : 32.44 = 32.44 : x
  2. Step 2: Convert to fraction form
    24.19/32.44 = 32.44/x
  3. Step 3: Cross multiply
    24.19x = 32.44 × 32.44
  4. Step 4: Simplify right side
    24.19x = 1,052.19
  5. Step 5: Solve for x
    x = 1,052.19/24.19
  6. Step 6: Final answer
    x = 43.50

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.