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Finding the Third Proportional to 13.76 and 24.42

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Solution

The third proportional to 13.76 and 24.42 is: 43.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.76 : 24.42 = 24.42 : x
  2. Step 2: Convert to fraction form
    13.76/24.42 = 24.42/x
  3. Step 3: Cross multiply
    13.76x = 24.42 × 24.42
  4. Step 4: Simplify right side
    13.76x = 596.43
  5. Step 5: Solve for x
    x = 596.43/13.76
  6. Step 6: Final answer
    x = 43.35

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.