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Finding the Third Proportional to 14.69 and 37.66

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Solution

The third proportional to 14.69 and 37.66 is: 96.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.69 : 37.66 = 37.66 : x
  2. Step 2: Convert to fraction form
    14.69/37.66 = 37.66/x
  3. Step 3: Cross multiply
    14.69x = 37.66 × 37.66
  4. Step 4: Simplify right side
    14.69x = 1,418.03
  5. Step 5: Solve for x
    x = 1,418.03/14.69
  6. Step 6: Final answer
    x = 96.55

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Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.