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Finding the Third Proportional to 14.06 and 33.47

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Solution

The third proportional to 14.06 and 33.47 is: 79.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.06 : 33.47 = 33.47 : x
  2. Step 2: Convert to fraction form
    14.06/33.47 = 33.47/x
  3. Step 3: Cross multiply
    14.06x = 33.47 × 33.47
  4. Step 4: Simplify right side
    14.06x = 1,120.16
  5. Step 5: Solve for x
    x = 1,120.16/14.06
  6. Step 6: Final answer
    x = 79.66

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.