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Finding the Third Proportional to 24.05 and 33.43

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Solution

The third proportional to 24.05 and 33.43 is: 46.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.05 : 33.43 = 33.43 : x
  2. Step 2: Convert to fraction form
    24.05/33.43 = 33.43/x
  3. Step 3: Cross multiply
    24.05x = 33.43 × 33.43
  4. Step 4: Simplify right side
    24.05x = 1,117.81
  5. Step 5: Solve for x
    x = 1,117.81/24.05
  6. Step 6: Final answer
    x = 46.48

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.