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Finding the Third Proportional to 23.85 and 27.29

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Solution

The third proportional to 23.85 and 27.29 is: 31.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.85 : 27.29 = 27.29 : x
  2. Step 2: Convert to fraction form
    23.85/27.29 = 27.29/x
  3. Step 3: Cross multiply
    23.85x = 27.29 × 27.29
  4. Step 4: Simplify right side
    23.85x = 744.75
  5. Step 5: Solve for x
    x = 744.75/23.85
  6. Step 6: Final answer
    x = 31.23

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.