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Finding the Third Proportional to 18.14 and 25.31

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Solution

The third proportional to 18.14 and 25.31 is: 35.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.14 : 25.31 = 25.31 : x
  2. Step 2: Convert to fraction form
    18.14/25.31 = 25.31/x
  3. Step 3: Cross multiply
    18.14x = 25.31 × 25.31
  4. Step 4: Simplify right side
    18.14x = 640.72
  5. Step 5: Solve for x
    x = 640.72/18.14
  6. Step 6: Final answer
    x = 35.32

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.