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Finding the Third Proportional to 23.75 and 29.19

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Solution

The third proportional to 23.75 and 29.19 is: 35.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.75 : 29.19 = 29.19 : x
  2. Step 2: Convert to fraction form
    23.75/29.19 = 29.19/x
  3. Step 3: Cross multiply
    23.75x = 29.19 × 29.19
  4. Step 4: Simplify right side
    23.75x = 851.91
  5. Step 5: Solve for x
    x = 851.91/23.75
  6. Step 6: Final answer
    x = 35.87

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Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.