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Finding the Third Proportional to 23.75 and 35.37

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Solution

The third proportional to 23.75 and 35.37 is: 52.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.75 : 35.37 = 35.37 : x
  2. Step 2: Convert to fraction form
    23.75/35.37 = 35.37/x
  3. Step 3: Cross multiply
    23.75x = 35.37 × 35.37
  4. Step 4: Simplify right side
    23.75x = 1,250.75
  5. Step 5: Solve for x
    x = 1,250.75/23.75
  6. Step 6: Final answer
    x = 52.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.