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Finding the Third Proportional to 28.69 and 41.97

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Solution

The third proportional to 28.69 and 41.97 is: 61.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.69 : 41.97 = 41.97 : x
  2. Step 2: Convert to fraction form
    28.69/41.97 = 41.97/x
  3. Step 3: Cross multiply
    28.69x = 41.97 × 41.97
  4. Step 4: Simplify right side
    28.69x = 1,761.38
  5. Step 5: Solve for x
    x = 1,761.38/28.69
  6. Step 6: Final answer
    x = 61.40

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.