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Finding the Third Proportional to 23.44 and 35.69

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Solution

The third proportional to 23.44 and 35.69 is: 54.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.44 : 35.69 = 35.69 : x
  2. Step 2: Convert to fraction form
    23.44/35.69 = 35.69/x
  3. Step 3: Cross multiply
    23.44x = 35.69 × 35.69
  4. Step 4: Simplify right side
    23.44x = 1,273.60
  5. Step 5: Solve for x
    x = 1,273.60/23.44
  6. Step 6: Final answer
    x = 54.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.