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Finding the Third Proportional to 21.42 and 44.48

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Solution

The third proportional to 21.42 and 44.48 is: 92.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.42 : 44.48 = 44.48 : x
  2. Step 2: Convert to fraction form
    21.42/44.48 = 44.48/x
  3. Step 3: Cross multiply
    21.42x = 44.48 × 44.48
  4. Step 4: Simplify right side
    21.42x = 1,978.86
  5. Step 5: Solve for x
    x = 1,978.86/21.42
  6. Step 6: Final answer
    x = 92.38

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.