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Finding the Third Proportional to 14.46 and 33.26

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Solution

The third proportional to 14.46 and 33.26 is: 76.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.46 : 33.26 = 33.26 : x
  2. Step 2: Convert to fraction form
    14.46/33.26 = 33.26/x
  3. Step 3: Cross multiply
    14.46x = 33.26 × 33.26
  4. Step 4: Simplify right side
    14.46x = 1,106.51
  5. Step 5: Solve for x
    x = 1,106.51/14.46
  6. Step 6: Final answer
    x = 76.51

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.