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Finding the Third Proportional to 24.26 and 33.22

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Solution

The third proportional to 24.26 and 33.22 is: 45.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.26 : 33.22 = 33.22 : x
  2. Step 2: Convert to fraction form
    24.26/33.22 = 33.22/x
  3. Step 3: Cross multiply
    24.26x = 33.22 × 33.22
  4. Step 4: Simplify right side
    24.26x = 1,103.74
  5. Step 5: Solve for x
    x = 1,103.74/24.26
  6. Step 6: Final answer
    x = 45.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.